Atkin-Lehner |
3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975h |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
4914291515625 = 39 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -6 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6792,-185509] |
[a1,a2,a3,a4,a6] |
Generators |
[-89050:370137:2197] |
Generators of the group modulo torsion |
j |
112678587/15979 |
j-invariant |
L |
8.0353208859429 |
L(r)(E,1)/r! |
Ω |
0.5308570304449 |
Real period |
R |
7.5682532287677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123975g1 4959b1 |
Quadratic twists by: -3 5 |