Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800u |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-459365500000000 = -1 · 28 · 59 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4708,-1037088] |
[a1,a2,a3,a4,a6] |
Generators |
[21593521578510:678566183303647:21717639000] |
Generators of the group modulo torsion |
j |
-23086352/918731 |
j-invariant |
L |
9.2080704659184 |
L(r)(E,1)/r! |
Ω |
0.2301852607964 |
Real period |
R |
20.001433702911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37400u2 74800x2 |
Quadratic twists by: -4 5 |