Atkin-Lehner |
2+ 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6438c |
Isogeny class |
Conductor |
6438 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-9094042326528 = -1 · 29 · 39 · 293 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4494,87556] |
[a1,a2,a3,a4,a6] |
j |
10040649967190375/9094042326528 |
j-invariant |
L |
1.4308797071175 |
L(r)(E,1)/r! |
Ω |
0.4769599023725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51504c1 19314p1 |
Quadratic twists by: -4 -3 |