Atkin-Lehner |
2- 3- 7- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038bf |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-279621394573752 = -1 · 23 · 38 · 7 · 113 · 833 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12640,586811] |
[a1,a2,a3,a4,a6] |
j |
306386493698375/383568442488 |
j-invariant |
L |
4.4206825966799 |
L(r)(E,1)/r! |
Ω |
0.36839025359326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38346d2 |
Quadratic twists by: -3 |