Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bg |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52522439782428 = 22 · 32 · 77 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7968700,8657569358] |
[a1,a2,a3,a4,a6] |
j |
268498407453697/252 |
j-invariant |
L |
3.1685119656928 |
L(r)(E,1)/r! |
Ω |
0.39606399571152 |
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 |
106722hi4 5082i3 294c3 |
Quadratic twists by: -3 -7 -11 |