Atkin-Lehner |
2+ 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105616f |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105728 |
Modular degree for the optimal curve |
Δ |
-795239474176 = -1 · 210 · 77 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ 0 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2120,-20028] |
[a1,a2,a3,a4,a6] |
Generators |
[96:1038:1] |
Generators of the group modulo torsion |
j |
1028552505116/776601049 |
j-invariant |
L |
4.1205709330478 |
L(r)(E,1)/r! |
Ω |
0.50030912640618 |
Real period |
R |
4.1180249562289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52808c1 |
Quadratic twists by: -4 |