Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498by |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
500604667416 = 23 · 315 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44393,-3588847] |
[a1,a2,a3,a4,a6] |
Generators |
[-7788:4591:64] |
Generators of the group modulo torsion |
j |
270853478089369/14014296 |
j-invariant |
L |
9.0552031498687 |
L(r)(E,1)/r! |
Ω |
0.32890694475675 |
Real period |
R |
2.294266735795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166l1 78498bl1 |
Quadratic twists by: -3 -7 |