Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bq |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-1116614686824 = -1 · 23 · 35 · 7 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6341,-203533] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/231336 |
j-invariant |
L |
0.80065288814511 |
L(r)(E,1)/r! |
Ω |
0.26688415945967 |
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 |
714b1 |
Quadratic twists by: 13 |