Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107584d |
Isogeny class |
Conductor |
107584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
204214657489043456 = 220 · 417 |
Discriminant |
Eigenvalues |
2+ -2 2 4 -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163617,13219135] |
[a1,a2,a3,a4,a6] |
Generators |
[-697782:28483745:4913] |
Generators of the group modulo torsion |
j |
389017/164 |
j-invariant |
L |
6.810346885058 |
L(r)(E,1)/r! |
Ω |
0.28651432055152 |
Real period |
R |
11.884828061133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107584k1 3362b1 2624b1 |
Quadratic twists by: -4 8 41 |