Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630cc |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8467200 |
Modular degree for the optimal curve |
Δ |
-9.1246927947749E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150979291,713994586409] |
[a1,a2,a3,a4,a6] |
Generators |
[62681:15380448:1] |
Generators of the group modulo torsion |
j |
-158519866173123187194406609/3800371842888336000 |
j-invariant |
L |
7.1874722783527 |
L(r)(E,1)/r! |
Ω |
0.1202750370726 |
Real period |
R |
2.1342370350531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ch1 42630dp1 |
Quadratic twists by: -3 -7 |