Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116i |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
281088 |
Modular degree for the optimal curve |
Δ |
5988354887550672 = 24 · 34 · 74 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46905,-1209996] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:966:1] |
Generators of the group modulo torsion |
j |
713297019540914176/374272180471917 |
j-invariant |
L |
4.116589769894 |
L(r)(E,1)/r! |
Ω |
0.34390365971287 |
Real period |
R |
0.49875762848465 |
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 |
100464w1 75348g1 |
Quadratic twists by: -4 -3 |