Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cm |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1149641304768 = -1 · 26 · 38 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 11- 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9696,-371086] |
[a1,a2,a3,a4,a6] |
j |
-2160697802752/24640803 |
j-invariant |
L |
2.4039550689997 |
L(r)(E,1)/r! |
Ω |
0.24039551747962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712dy1 1683f1 35904e1 |
Quadratic twists by: -4 8 -3 |