Atkin-Lehner |
2+ 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062r |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-249475790592 = -1 · 28 · 36 · 7 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630,24948] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/342216448 |
j-invariant |
L |
3.3711960039305 |
L(r)(E,1)/r! |
Ω |
0.84279900019844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118k1 |
Quadratic twists by: -3 |