Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630ca |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-15046130610 = -1 · 2 · 32 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-736,-9997] |
[a1,a2,a3,a4,a6] |
Generators |
[454:2709:8] |
Generators of the group modulo torsion |
j |
-7649089/2610 |
j-invariant |
L |
6.869880119169 |
L(r)(E,1)/r! |
Ω |
0.45052856992965 |
Real period |
R |
2.5414148985926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ca1 42630dj1 |
Quadratic twists by: -3 -7 |