Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475p |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
48384000 |
Modular degree for the optimal curve |
Δ |
-4.1299954251649E+27 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 2 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5830817883,-171398919325957] |
[a1,a2,a3,a4,a6] |
Generators |
[2430129:154885924:27] |
Generators of the group modulo torsion |
j |
-11926249134908509075308544/2246680441062421875 |
j-invariant |
L |
3.831785845046 |
L(r)(E,1)/r! |
Ω |
0.0086383795409258 |
Real period |
R |
2.7723557891551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12495n1 8925o1 |
Quadratic twists by: 5 -7 |