Atkin-Lehner |
2- 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650co |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
718031250000 = 24 · 33 · 59 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4638,-116469] |
[a1,a2,a3,a4,a6] |
j |
5649262541/367632 |
j-invariant |
L |
4.647040321181 |
L(r)(E,1)/r! |
Ω |
0.58088028424312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650bo1 |
Quadratic twists by: 5 |