Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
608b |
Isogeny class |
Conductor |
608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-10142101504 = -1 · 212 · 195 |
Discriminant |
Eigenvalues |
2- 0 3 5 5 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,4848] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
2.0861679233631 |
L(r)(E,1)/r! |
Ω |
1.0430839616816 |
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 |
608e1 1216n1 5472h1 15200b1 |
Quadratic twists by: -4 8 -3 5 |