Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950bf |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
-1.4192932852441E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,535503258,-3178804907084] |
[a1,a2,a3,a4,a6] |
Generators |
[31931806893912249187334060:4499982721347234215181317162:4455209028277942386733] |
Generators of the group modulo torsion |
j |
59637921762433546548095/49840751854938488832 |
j-invariant |
L |
3.3087212498594 |
L(r)(E,1)/r! |
Ω |
0.021883570075974 |
Real period |
R |
37.799148383609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650z1 31950bz1 |
Quadratic twists by: -3 5 |