Atkin-Lehner |
2+ 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950i |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
589597287455232000 = 212 · 39 · 53 · 75 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34465895,77866799925] |
[a1,a2,a3,a4,a6] |
j |
36222831915586793232720173/4716778299641856 |
j-invariant |
L |
1.8057991694988 |
L(r)(E,1)/r! |
Ω |
0.22572489588951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950cm1 |
Quadratic twists by: 5 |