Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bj |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-8.6796007628885E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 6 13+ 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3025325,2073377151] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/597051 |
j-invariant |
L |
6.1066299642963 |
L(r)(E,1)/r! |
Ω |
0.19083219429071 |
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 |
14196a1 7644j1 |
Quadratic twists by: -7 13 |