Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770ca |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
368 |
Product of Tamagawa factors cp |
deg |
208965120 |
Modular degree for the optimal curve |
Δ |
-1.6622168635704E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55289302741,5003894186284859] |
[a1,a2,a3,a4,a6] |
j |
-1762612641186222996390586933/1567463776557465600 |
j-invariant |
L |
3.004398454863 |
L(r)(E,1)/r! |
Ω |
0.032656504942078 |
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 |
55770o1 |
Quadratic twists by: 13 |