Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990ba |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
12528 |
Modular degree for the optimal curve |
Δ |
-712138240 = -1 · 29 · 5 · 114 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,179,-879] |
[a1,a2,a3,a4,a6] |
j |
43307231/48640 |
j-invariant |
L |
2.5987197920506 |
L(r)(E,1)/r! |
Ω |
0.86623993068353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114950bc1 22990e1 |
Quadratic twists by: 5 -11 |