Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bo |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
36334052813979648 = 214 · 38 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-86682,3482919] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2111:1] |
Generators of the group modulo torsion |
j |
612241204436497/308834353152 |
j-invariant |
L |
9.781026919503 |
L(r)(E,1)/r! |
Ω |
0.32370573172413 |
Real period |
R |
1.0791356338302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1326e1 |
Quadratic twists by: -7 |