Atkin-Lehner |
2+ 3+ 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978c |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-39883584 = -1 · 26 · 3 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43848,-3552384] |
[a1,a2,a3,a4,a6] |
j |
-9323705665435012489/39883584 |
j-invariant |
L |
0.65984330310953 |
L(r)(E,1)/r! |
Ω |
0.16496082578137 |
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 |
128934bl1 |
Quadratic twists by: -3 |