Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254g |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
497074482 = 2 · 311 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -3 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,-2102] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:11:1] |
Generators of the group modulo torsion |
j |
6078390625/681858 |
j-invariant |
L |
3.4243689464428 |
L(r)(E,1)/r! |
Ω |
1.1181230053917 |
Real period |
R |
1.5313024282346 |
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 |
8418f1 |
Quadratic twists by: -3 |