Atkin-Lehner |
3- 5+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945h |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-8646335026875 = -1 · 36 · 54 · 72 · 13 · 313 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -3 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165933,26016788] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:3487:1] [114:2929:1] |
Generators of the group modulo torsion |
j |
-693097734329266176/11860541875 |
j-invariant |
L |
5.3118006451293 |
L(r)(E,1)/r! |
Ω |
0.67326806501878 |
Real period |
R |
0.32873239964592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000011829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105c1 |
Quadratic twists by: -3 |