Atkin-Lehner |
2- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20336c |
Isogeny class |
Conductor |
20336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-895260163047424 = -1 · 234 · 31 · 412 |
Discriminant |
Eigenvalues |
2- -2 2 0 -6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6448,1427860] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1030:1] |
Generators of the group modulo torsion |
j |
7237215346607/218569375744 |
j-invariant |
L |
3.3663237819724 |
L(r)(E,1)/r! |
Ω |
0.37537747004322 |
Real period |
R |
4.4839182564484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2542a1 81344i1 |
Quadratic twists by: -4 8 |