Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9372b |
Isogeny class |
Conductor |
9372 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
26345366784 = 28 · 32 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11- -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2197,39601] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:66:1] [-9:242:1] |
Generators of the group modulo torsion |
j |
4583229227008/102911589 |
j-invariant |
L |
4.4353449021616 |
L(r)(E,1)/r! |
Ω |
1.1876786211921 |
Real period |
R |
0.12448218519224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37488z1 28116e1 103092b1 |
Quadratic twists by: -4 -3 -11 |