Atkin-Lehner |
2+ 7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538a |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
198101621564 = 22 · 78 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3194,-65304] |
[a1,a2,a3,a4,a6] |
Generators |
[86:496:1] |
Generators of the group modulo torsion |
j |
625202361/34364 |
j-invariant |
L |
4.8247288714907 |
L(r)(E,1)/r! |
Ω |
0.63722721291702 |
Real period |
R |
0.63095349850918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538j1 |
Quadratic twists by: -7 |