Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2960k |
Isogeny class |
Conductor |
2960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
5920000 = 28 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- -1 3 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
3.9146656053721 |
L(r)(E,1)/r! |
Ω |
1.9994312156227 |
Real period |
R |
0.24473620139971 |
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 |
740c1 11840be1 26640bc1 14800v1 |
Quadratic twists by: -4 8 -3 5 |