Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050y |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
3340433544236236800 = 228 · 39 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-864072,-296167104] |
[a1,a2,a3,a4,a6] |
Generators |
[-77680:128952:125] |
Generators of the group modulo torsion |
j |
3914770025721578665/183288534663168 |
j-invariant |
L |
5.7980900103256 |
L(r)(E,1)/r! |
Ω |
0.15704348350829 |
Real period |
R |
3.0766903276718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31350bu1 94050eb1 |
Quadratic twists by: -3 5 |