Atkin-Lehner |
3+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
127581b |
Isogeny class |
Conductor |
127581 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1097712000 |
Modular degree for the optimal curve |
Δ |
-3.6883171867466E+33 |
Discriminant |
Eigenvalues |
-1 3+ 3 5 -5 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24884026014,3289445558902548] |
[a1,a2,a3,a4,a6] |
j |
-269572085631696789200853433/583468653541433962494321 |
j-invariant |
L |
2.4385993941597 |
L(r)(E,1)/r! |
Ω |
0.012441833224163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2967c1 |
Quadratic twists by: -43 |