Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cz |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-129767695312500 = -1 · 22 · 37 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2930,552197] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:421:1] |
Generators of the group modulo torsion |
j |
-390625/18228 |
j-invariant |
L |
10.107777357265 |
L(r)(E,1)/r! |
Ω |
0.48575631736919 |
Real period |
R |
2.6010411443433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550r1 97650cc1 |
Quadratic twists by: -3 5 |