Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763k |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-264769441235061 = -1 · 3 · 72 · 239 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 2 -7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19055,-1287742] |
[a1,a2,a3,a4,a6] |
Generators |
[176:833:1] |
Generators of the group modulo torsion |
j |
-105484561/36501 |
j-invariant |
L |
2.2216196613952 |
L(r)(E,1)/r! |
Ω |
0.19968889492353 |
Real period |
R |
5.5627020732714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763y1 3381f1 |
Quadratic twists by: -7 -23 |