Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cj |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
516159989694332928 = 224 · 310 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6266028,-6037115600] |
[a1,a2,a3,a4,a6] |
Generators |
[-320383031311284810:36332292153166336:221061021044625] |
Generators of the group modulo torsion |
j |
142374842119352809/2700952128 |
j-invariant |
L |
9.2433290783243 |
L(r)(E,1)/r! |
Ω |
0.095422758310662 |
Real period |
R |
24.216783473494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992gh1 3906r1 41664bv1 |
Quadratic twists by: -4 8 -3 |