Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800n |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
148000000 = 28 · 56 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -5 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,137] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:25:1] [-7:26:1] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
5.3538512117516 |
L(r)(E,1)/r! |
Ω |
1.5779928284781 |
Real period |
R |
0.84820588457848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3700a1 59200ct1 592d1 |
Quadratic twists by: -4 8 5 |