Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666cj |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-6585958847286 = -1 · 2 · 32 · 73 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2278,-115974] |
[a1,a2,a3,a4,a6] |
Generators |
[710:6743:8] |
Generators of the group modulo torsion |
j |
270840023/1364454 |
j-invariant |
L |
10.529039468558 |
L(r)(E,1)/r! |
Ω |
0.37751806309737 |
Real period |
R |
1.1620900282247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282j1 |
Quadratic twists by: 13 |