Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cq |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
2256919591500 = 22 · 33 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3480,30477] |
[a1,a2,a3,a4,a6] |
j |
808509121/391500 |
j-invariant |
L |
4.3799325018635 |
L(r)(E,1)/r! |
Ω |
0.72998875030643 |
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 |
127890bb1 42630da1 |
Quadratic twists by: -3 -7 |