Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710da |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2146706757360 = -1 · 24 · 34 · 5 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,905,69785] |
[a1,a2,a3,a4,a6] |
j |
46268279/1211760 |
j-invariant |
L |
2.4758332849724 |
L(r)(E,1)/r! |
Ω |
0.6189583221842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610s1 |
Quadratic twists by: -11 |