Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456ca |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-355992158400768 = -1 · 28 · 37 · 295 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -3 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,-907774] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3364:1] |
Generators of the group modulo torsion |
j |
9148592/1907536857 |
j-invariant |
L |
4.0803537255467 |
L(r)(E,1)/r! |
Ω |
0.247485287655 |
Real period |
R |
1.6487257398971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000209591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364n1 43152s1 |
Quadratic twists by: -4 -3 |