Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778s |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
-43790476040339868 = -1 · 22 · 32 · 74 · 477 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-214319,39404657] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/4062492 |
j-invariant |
L |
2.8608776755906 |
L(r)(E,1)/r! |
Ω |
0.35760970795919 |
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 |
1974g1 |
Quadratic twists by: -47 |