Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352y |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-214213733056512 = -1 · 216 · 34 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,704052] |
[a1,a2,a3,a4,a6] |
j |
4913/1296 |
j-invariant |
L |
3.4780621117807 |
L(r)(E,1)/r! |
Ω |
0.43475776397259 |
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 |
294f1 9408ch1 7056cd1 58800ga1 |
Quadratic twists by: -4 8 -3 5 |