Atkin-Lehner |
2- 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bi |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
4815402574125072384 = 217 · 39 · 7 · 13 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-506280,-89710992] |
[a1,a2,a3,a4,a6] |
j |
3503780863004497321/1175635394073504 |
j-invariant |
L |
1.8381919786311 |
L(r)(E,1)/r! |
Ω |
0.18381931884852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834f1 |
Quadratic twists by: -4 |