Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930x |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
22733865000 = 23 · 310 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2395013,-1426026283] |
[a1,a2,a3,a4,a6] |
j |
2084105208962185000201/31185000 |
j-invariant |
L |
2.9126200968574 |
L(r)(E,1)/r! |
Ω |
0.12135917070239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440di4 2310j4 34650bj4 48510ef4 |
Quadratic twists by: -4 -3 5 -7 |