Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bj |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
70081920000000000 = 216 · 32 · 510 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-531576,148585798] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:25979:1] |
Generators of the group modulo torsion |
j |
139808984375/589824 |
j-invariant |
L |
6.9952903205905 |
L(r)(E,1)/r! |
Ω |
0.34826291576218 |
Real period |
R |
2.5107792135605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350cx1 79350bm1 |
Quadratic twists by: 5 -23 |