Atkin-Lehner |
19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25631a |
Isogeny class |
Conductor |
25631 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21204 |
Modular degree for the optimal curve |
Δ |
-1205832975911 = -1 · 198 · 71 |
Discriminant |
Eigenvalues |
-1 1 1 2 4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2715,-76096] |
[a1,a2,a3,a4,a6] |
Generators |
[124176325:1437082158:753571] |
Generators of the group modulo torsion |
j |
-130321/71 |
j-invariant |
L |
4.6134861609658 |
L(r)(E,1)/r! |
Ω |
0.32249967983931 |
Real period |
R |
14.305397646486 |
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 |
25631f1 |
Quadratic twists by: -19 |