Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778x |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-3574732737986928 = -1 · 24 · 32 · 72 · 477 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59689,6302153] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/331632 |
j-invariant |
L |
3.4305392014211 |
L(r)(E,1)/r! |
Ω |
0.42881739903033 |
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 |
1974k1 |
Quadratic twists by: -47 |