Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79524j |
Isogeny class |
Conductor |
79524 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1271808 |
Modular degree for the optimal curve |
Δ |
2552796897298746624 = 28 · 39 · 477 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-742224,233809396] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:2209:1] [-235:19881:1] |
Generators of the group modulo torsion |
j |
22478848/1269 |
j-invariant |
L |
8.8142637151097 |
L(r)(E,1)/r! |
Ω |
0.25299082969902 |
Real period |
R |
4.3550312305091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26508f1 1692d1 |
Quadratic twists by: -3 -47 |