Atkin-Lehner |
7- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99029b |
Isogeny class |
Conductor |
99029 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-11175125563 = -1 · 76 · 43 · 472 |
Discriminant |
Eigenvalues |
-2 0 0 7- -3 7 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3185,-69372] |
[a1,a2,a3,a4,a6] |
j |
-30371328000/94987 |
j-invariant |
L |
1.2707813325301 |
L(r)(E,1)/r! |
Ω |
0.31769535476951 |
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 |
2021a1 |
Quadratic twists by: -7 |