Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bf |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
4773600 |
Modular degree for the optimal curve |
Δ |
-4880596742716391424 = -1 · 217 · 33 · 75 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2466981,-1496219925] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
1.0237658228581 |
L(r)(E,1)/r! |
Ω |
0.060221512147524 |
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 |
714c1 |
Quadratic twists by: 13 |