Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850a |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
19028347050781250 = 2 · 510 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 6 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66992,720166] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:1084:1] |
Generators of the group modulo torsion |
j |
590625/338 |
j-invariant |
L |
4.0636461991982 |
L(r)(E,1)/r! |
Ω |
0.330764158113 |
Real period |
R |
2.0476050682058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31850cg1 31850s1 |
Quadratic twists by: 5 -7 |