Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600r |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-76000000 = -1 · 28 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,4937] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
5.2946403850895 |
L(r)(E,1)/r! |
Ω |
1.9455635467677 |
Real period |
R |
1.3606958235535 |
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 |
1900b1 30400bj1 68400fp1 304f1 |
Quadratic twists by: -4 8 -3 5 |