Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3234r |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322425892386268902 = 2 · 32 · 718 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-171844,-2403745] |
[a1,a2,a3,a4,a6] |
j |
4770223741048753/2740574865798 |
j-invariant |
L |
2.0383890743779 |
L(r)(E,1)/r! |
Ω |
0.25479863429724 |
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 |
25872co3 103488dd3 9702p3 80850ck3 |
Quadratic twists by: -4 8 -3 5 |