Atkin-Lehner |
2- 5- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650t |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3792960 |
Modular degree for the optimal curve |
Δ |
-533337800000000 = -1 · 29 · 58 · 232 · 712 |
Discriminant |
Eigenvalues |
2- -1 5- 2 3 6 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37207763,-87372652719] |
[a1,a2,a3,a4,a6] |
j |
-14583587066927909002705/1365344768 |
j-invariant |
L |
4.4012259046018 |
L(r)(E,1)/r! |
Ω |
0.030564068820016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650f1 |
Quadratic twists by: 5 |