Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488c |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
22464 = 26 · 33 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,140] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] |
Generators of the group modulo torsion |
j |
8489664/13 |
j-invariant |
L |
3.7151442232072 |
L(r)(E,1)/r! |
Ω |
3.8070760515182 |
Real period |
R |
1.9517047586825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488d1 3744i2 7488b1 97344g1 |
Quadratic twists by: -4 8 -3 13 |