Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742j |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
428636982040568 = 23 · 714 · 79 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167614,-26351979] |
[a1,a2,a3,a4,a6] |
Generators |
[50205:2081659:27] |
Generators of the group modulo torsion |
j |
4426535117697057/3643354232 |
j-invariant |
L |
6.6418991493054 |
L(r)(E,1)/r! |
Ω |
0.23596285543554 |
Real period |
R |
9.3826902501892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61936r4 69678j4 1106e4 |
Quadratic twists by: -4 -3 -7 |