Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952da |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1548604629698789376 = 214 · 39 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5769603,5333835906] |
[a1,a2,a3,a4,a6] |
j |
932673987/68 |
j-invariant |
L |
1.0191501665212 |
L(r)(E,1)/r! |
Ω |
0.25478772462371 |
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 |
14994i1 119952ck1 119952bu1 |
Quadratic twists by: -4 -3 -7 |