Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3910n |
Isogeny class |
Conductor |
3910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-500480 = -1 · 28 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 0 1 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60,157] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-7:1] |
Generators of the group modulo torsion |
j |
-23912763841/500480 |
j-invariant |
L |
4.5890695940597 |
L(r)(E,1)/r! |
Ω |
2.941820723817 |
Real period |
R |
0.19499274534757 |
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 |
31280w1 125120b1 35190l1 19550i1 |
Quadratic twists by: -4 8 -3 5 |