Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bd |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-17932243304448 = -1 · 217 · 37 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3393,-216351] |
[a1,a2,a3,a4,a6] |
j |
-32968057250/136812159 |
j-invariant |
L |
1.1396287879895 |
L(r)(E,1)/r! |
Ω |
0.284907231987 |
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 |
99264v1 24816e1 |
Quadratic twists by: -4 8 |