Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
880j |
Isogeny class |
Conductor |
880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
242000 = 24 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,-100] |
[a1,a2,a3,a4,a6] |
j |
643956736/15125 |
j-invariant |
L |
2.7638071810474 |
L(r)(E,1)/r! |
Ω |
1.8425381206982 |
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 |
220a1 3520u1 7920ba1 4400t1 |
Quadratic twists by: -4 8 -3 5 |