Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ch |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
818721792 = 210 · 32 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-509,4035] |
[a1,a2,a3,a4,a6] |
Generators |
[22:63:1] |
Generators of the group modulo torsion |
j |
14270199808/799533 |
j-invariant |
L |
6.8730185024743 |
L(r)(E,1)/r! |
Ω |
1.564328871668 |
Real period |
R |
1.0983973106518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cx1 6216q1 |
Quadratic twists by: -4 8 |