Atkin-Lehner |
2- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4514c |
Isogeny class |
Conductor |
4514 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-5344576 = -1 · 26 · 372 · 61 |
Discriminant |
Eigenvalues |
2- -2 1 1 -3 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,1929] |
[a1,a2,a3,a4,a6] |
Generators |
[16:29:1] |
Generators of the group modulo torsion |
j |
-2839760855281/5344576 |
j-invariant |
L |
4.1998731692368 |
L(r)(E,1)/r! |
Ω |
2.4169782158602 |
Real period |
R |
0.14480454497815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36112g1 40626f1 112850f1 |
Quadratic twists by: -4 -3 5 |