Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990l |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4207457375000 = -1 · 23 · 56 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3633,129468] |
[a1,a2,a3,a4,a6] |
Generators |
[54:275:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
5.1478339048955 |
L(r)(E,1)/r! |
Ω |
0.71490812437285 |
Real period |
R |
0.60005774744499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950ch1 190c1 |
Quadratic twists by: 5 -11 |