Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bd |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
9901250000 = 24 · 57 · 892 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-330033,73086812] |
[a1,a2,a3,a4,a6] |
Generators |
[1936524:-57556567:1728] |
Generators of the group modulo torsion |
j |
15902196690141184/39605 |
j-invariant |
L |
8.0767431376306 |
L(r)(E,1)/r! |
Ω |
0.84701808178057 |
Real period |
R |
9.5355026195571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8900c1 7120k1 |
Quadratic twists by: -4 5 |