Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22990r |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1547671120820 = -1 · 22 · 5 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21379,-1199335] |
[a1,a2,a3,a4,a6] |
j |
-5041454121/7220 |
j-invariant |
L |
2.368730880854 |
L(r)(E,1)/r! |
Ω |
0.19739424007117 |
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 |
114950db1 22990bh1 |
Quadratic twists by: 5 -11 |