Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bn |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-42971040 = -1 · 25 · 33 · 5 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 0 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5409,-153548] |
[a1,a2,a3,a4,a6] |
j |
-51011149817503/125280 |
j-invariant |
L |
1.6701332360231 |
L(r)(E,1)/r! |
Ω |
0.27835553933789 |
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 |
127890fz1 42630y1 |
Quadratic twists by: -3 -7 |