Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bg |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-23281664000000 = -1 · 220 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 1 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40808,-3167888] |
[a1,a2,a3,a4,a6] |
Generators |
[34770:328958:125] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
5.0580490864563 |
L(r)(E,1)/r! |
Ω |
0.16791975142606 |
Real period |
R |
7.5304558324183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10150e1 3248n1 |
Quadratic twists by: -4 5 |