Atkin-Lehner |
2+ 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256j |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
1076301694684944 = 24 · 37 · 77 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 6 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25760,211239] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:583:1] |
Generators of the group modulo torsion |
j |
118156648749834496/67268855917809 |
j-invariant |
L |
6.4647167049665 |
L(r)(E,1)/r! |
Ω |
0.42140095624154 |
Real period |
R |
5.1136703324516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128q1 |
Quadratic twists by: -4 |