Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763i |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
-264769441235061 = -1 · 3 · 72 · 239 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 0 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12421,-568434] |
[a1,a2,a3,a4,a6] |
Generators |
[6230:49554:125] |
Generators of the group modulo torsion |
j |
2401/3 |
j-invariant |
L |
4.8151571352013 |
L(r)(E,1)/r! |
Ω |
0.29531147196797 |
Real period |
R |
8.1526753871542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763w1 77763g1 |
Quadratic twists by: -7 -23 |