Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400o |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4792320000000000 = -1 · 222 · 32 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14586000833,-678030687590463] |
[a1,a2,a3,a4,a6] |
Generators |
[11673342326010866255394884421946308535915338314282463758312271621038791590630878572637993382666736843292658764302087357353412248366649384745595541083102449899:8847067154017119787092501025052002538618814638218157071575594708032686821563942184576474442072635225124285348691373072803804694152820798911972714982300729918732:19437428773991489507409115696731779430718267695580024527649371075771291299457323564454746185294674284908344735411321631564716507181994865591182375006393] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
6.7152756516437 |
L(r)(E,1)/r! |
Ω |
0.0068688732184747 |
Real period |
R |
244.40965199293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400gq2 1950y2 62400dt1 |
Quadratic twists by: -4 8 5 |