Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2960c |
Isogeny class |
Conductor |
2960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
47360 = 28 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[399:1196:27] |
Generators of the group modulo torsion |
j |
94875856/185 |
j-invariant |
L |
4.401101545788 |
L(r)(E,1)/r! |
Ω |
1.7132119607489 |
Real period |
R |
5.1378365860395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1480c1 11840ba1 26640j1 14800d1 |
Quadratic twists by: -4 8 -3 5 |