Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bm |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1856141217824768 = -1 · 216 · 78 · 173 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ 5 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17836,-2266544] |
[a1,a2,a3,a4,a6] |
j |
-1660932/4913 |
j-invariant |
L |
1.1463174899262 |
L(r)(E,1)/r! |
Ω |
0.19105291461881 |
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 |
53312g1 13328a1 53312cl1 |
Quadratic twists by: -4 8 -7 |