Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bd |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
257434826778948 = 22 · 3 · 7 · 139 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25861,-1404388] |
[a1,a2,a3,a4,a6] |
Generators |
[-475290:2593207:5832] |
Generators of the group modulo torsion |
j |
180362125/24276 |
j-invariant |
L |
6.946529991838 |
L(r)(E,1)/r! |
Ω |
0.3798320214402 |
Real period |
R |
9.1442131976613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120666ce1 |
Quadratic twists by: 13 |