Atkin-Lehner |
2+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616c |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120576 |
Modular degree for the optimal curve |
Δ |
105616 = 24 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 3 5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45211,-3700107] |
[a1,a2,a3,a4,a6] |
j |
638757582766371072/6601 |
j-invariant |
L |
2.9466667131348 |
L(r)(E,1)/r! |
Ω |
0.32740742667096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52808h1 |
Quadratic twists by: -4 |