Atkin-Lehner |
2- 3+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118bd |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2069298669312 = -1 · 28 · 39 · 72 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1649,-73439] |
[a1,a2,a3,a4,a6] |
j |
-25179520491/105131264 |
j-invariant |
L |
5.458463941843 |
L(r)(E,1)/r! |
Ω |
0.34115399664563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118f1 |
Quadratic twists by: -3 |