Atkin-Lehner |
2+ 3- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918h |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
24816954996288 = 26 · 310 · 72 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23616,1382080] |
[a1,a2,a3,a4,a6] |
Generators |
[53:500:1] |
Generators of the group modulo torsion |
j |
1998138318898177/34042462272 |
j-invariant |
L |
5.4010623804972 |
L(r)(E,1)/r! |
Ω |
0.67292377756345 |
Real period |
R |
0.66885514380593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306n1 |
Quadratic twists by: -3 |