Atkin-Lehner |
2+ 17+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118864b |
Isogeny class |
Conductor |
118864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-23139492608 = -1 · 28 · 17 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ -1 -2 0 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,511,-5987] |
[a1,a2,a3,a4,a6] |
j |
57530252288/90388643 |
j-invariant |
L |
1.2691983700482 |
L(r)(E,1)/r! |
Ω |
0.63459877137087 |
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 |
59432a1 |
Quadratic twists by: -4 |