Atkin-Lehner |
2- 3- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832o |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-2681966684012544 = -1 · 223 · 37 · 29 · 712 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-551016,-157636044] |
[a1,a2,a3,a4,a6] |
j |
-4517073753029676649/654777022464 |
j-invariant |
L |
2.4531984631428 |
L(r)(E,1)/r! |
Ω |
0.087614233131058 |
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 |
12354b1 |
Quadratic twists by: -4 |