Atkin-Lehner |
2+ 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890x |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
3720215977844940 = 22 · 33 · 5 · 710 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94089,-10690415] |
[a1,a2,a3,a4,a6] |
j |
12078102267/487780 |
j-invariant |
L |
3.2792635453452 |
L(r)(E,1)/r! |
Ω |
0.27327189123564 |
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 |
127890di2 127890a1 |
Quadratic twists by: -3 -7 |