Atkin-Lehner |
2- 3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812f |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-20584597608432 = -1 · 24 · 316 · 112 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2649,-224507] |
[a1,a2,a3,a4,a6] |
j |
-176247139072/1764797463 |
j-invariant |
L |
1.1581313285384 |
L(r)(E,1)/r! |
Ω |
0.28953288537141 |
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 |
32604e1 |
Quadratic twists by: -3 |