Atkin-Lehner |
5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77315a |
Isogeny class |
Conductor |
77315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229632 |
Modular degree for the optimal curve |
Δ |
-124122664513435 = -1 · 5 · 72 · 477 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ -4 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11781,723795] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1095:1] [-63:1104:1] |
Generators of the group modulo torsion |
j |
-16777216/11515 |
j-invariant |
L |
5.2354267863197 |
L(r)(E,1)/r! |
Ω |
0.54183594430215 |
Real period |
R |
1.207797960153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1645b1 |
Quadratic twists by: -47 |