Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912t |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
235282940928 = 210 · 32 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3152,-65052] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:36:1] |
Generators of the group modulo torsion |
j |
28756228/1953 |
j-invariant |
L |
10.280802871417 |
L(r)(E,1)/r! |
Ω |
0.63987133738733 |
Real period |
R |
2.0083730646988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456g1 10416c1 |
Quadratic twists by: -4 -7 |