Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376c |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-23477598976 = -1 · 28 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 2 1 -3 -3 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-7411] |
[a1,a2,a3,a4,a6] |
Generators |
[671132:2536521:21952] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
8.1561425818042 |
L(r)(E,1)/r! |
Ω |
0.51690138202738 |
Real period |
R |
7.8894571241125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25688i1 304d1 |
Quadratic twists by: -4 13 |