Atkin-Lehner |
2- 3+ 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418p |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
42734736 = 24 · 33 · 11 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,283] |
[a1,a2,a3,a4,a6] |
j |
4566034179/1582768 |
j-invariant |
L |
7.4635905901482 |
L(r)(E,1)/r! |
Ω |
1.8658976499247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418e1 |
Quadratic twists by: -3 |