Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312p |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
32768540672 = 214 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,-4145] |
[a1,a2,a3,a4,a6] |
j |
35152/17 |
j-invariant |
L |
1.8564305101866 |
L(r)(E,1)/r! |
Ω |
0.92821525431163 |
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 |
53312bv1 6664d1 1088f1 |
Quadratic twists by: -4 8 -7 |