Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bi |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3273704639988249600 = -1 · 210 · 39 · 52 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-743067,-261458874] |
[a1,a2,a3,a4,a6] |
Generators |
[3185309395:-30907673524:3048625] |
Generators of the group modulo torsion |
j |
-2251211955310188/162423268175 |
j-invariant |
L |
5.2658841651069 |
L(r)(E,1)/r! |
Ω |
0.080967910632681 |
Real period |
R |
16.259170219605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920n2 57960a2 |
Quadratic twists by: -4 -3 |