Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bt |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4949280 |
Modular degree for the optimal curve |
Δ |
408044324532031250 = 2 · 58 · 710 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 6 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10085450,-12332119750] |
[a1,a2,a3,a4,a6] |
j |
1028180082265/3698 |
j-invariant |
L |
4.2359009162207 |
L(r)(E,1)/r! |
Ω |
0.084718024991863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350ck1 105350be1 |
Quadratic twists by: 5 -7 |