Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cz |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
353737601280 = 28 · 34 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12251,-522159] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:37:1] |
Generators of the group modulo torsion |
j |
1728432036001/3006720 |
j-invariant |
L |
10.58781813265 |
L(r)(E,1)/r! |
Ω |
0.45383905273404 |
Real period |
R |
1.4580909890951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890cl1 870g1 |
Quadratic twists by: -3 -7 |