Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763bd |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-115946266023 = -1 · 34 · 76 · 233 |
Discriminant |
Eigenvalues |
1 3- -4 7- 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3358,-76933] |
[a1,a2,a3,a4,a6] |
j |
-2924207/81 |
j-invariant |
L |
1.2523202839702 |
L(r)(E,1)/r! |
Ω |
0.31308006817594 |
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 |
1587a1 77763bc1 |
Quadratic twists by: -7 -23 |