Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123627v |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2505600 |
Modular degree for the optimal curve |
Δ |
-1.1123309655067E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- -1 -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1319547,604979575] |
[a1,a2,a3,a4,a6] |
Generators |
[-7850:251175:8] [599:5139:1] |
Generators of the group modulo torsion |
j |
-4317433/189 |
j-invariant |
L |
14.540273529895 |
L(r)(E,1)/r! |
Ω |
0.2251394742584 |
Real period |
R |
1.7939834330806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17661b1 123627i1 |
Quadratic twists by: -7 29 |