Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bi |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4921375841928 = 23 · 32 · 72 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64477,6273899] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:3624:1] |
Generators of the group modulo torsion |
j |
6141556990297/1019592 |
j-invariant |
L |
11.185601033156 |
L(r)(E,1)/r! |
Ω |
0.74439807633223 |
Real period |
R |
1.2521975109944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714d2 |
Quadratic twists by: 13 |