Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61596g |
Isogeny class |
Conductor |
61596 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
698338983168 = 28 · 313 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 6 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3720,77524] |
[a1,a2,a3,a4,a6] |
Generators |
[5:243:1] [53:171:1] |
Generators of the group modulo torsion |
j |
30505984000/3741957 |
j-invariant |
L |
9.7766103569468 |
L(r)(E,1)/r! |
Ω |
0.87353340239192 |
Real period |
R |
2.7980070167289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532e1 |
Quadratic twists by: -3 |