Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930x |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
128646026245903320 = 23 · 322 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162293,-18275659] |
[a1,a2,a3,a4,a6] |
j |
648474704552553481/176469171805080 |
j-invariant |
L |
2.9126200968574 |
L(r)(E,1)/r! |
Ω |
0.24271834140479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440di3 2310j3 34650bj3 48510ef3 |
Quadratic twists by: -4 -3 5 -7 |