Atkin-Lehner |
2- 3+ 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bh |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
641930268672 = 212 · 33 · 72 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6956,-218193] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:69:1] |
Generators of the group modulo torsion |
j |
1378415456415171/23775195136 |
j-invariant |
L |
8.8807749681403 |
L(r)(E,1)/r! |
Ω |
0.52332198071975 |
Real period |
R |
0.47138894063825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354c1 |
Quadratic twists by: -3 |