Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ed |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3583683810000 = 24 · 311 · 54 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3828,3827] |
[a1,a2,a3,a4,a6] |
j |
531853459456/307243125 |
j-invariant |
L |
1.3409480639187 |
L(r)(E,1)/r! |
Ω |
0.67047407286997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420i1 28560da1 |
Quadratic twists by: -4 -3 |