Atkin-Lehner |
2+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35392c |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-18120704 = -1 · 215 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 1 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,95] |
[a1,a2,a3,a4,a6] |
j |
830584/553 |
j-invariant |
L |
2.7385212734759 |
L(r)(E,1)/r! |
Ω |
1.3692606367296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35392i1 17696d1 |
Quadratic twists by: -4 8 |