Atkin-Lehner |
2+ 3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25398a |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
14219629056 = 29 · 39 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 2 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-663,-3043] |
[a1,a2,a3,a4,a6] |
Generators |
[37:130:1] |
Generators of the group modulo torsion |
j |
1638858339/722432 |
j-invariant |
L |
4.4297499306535 |
L(r)(E,1)/r! |
Ω |
0.97979813809651 |
Real period |
R |
2.2605421251664 |
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 |
25398i1 |
Quadratic twists by: -3 |