Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752p |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
3786974208 = 210 · 37 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15195,720934] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1184:1] |
Generators of the group modulo torsion |
j |
519754598500/5073 |
j-invariant |
L |
4.9660197411879 |
L(r)(E,1)/r! |
Ω |
1.2623265657188 |
Real period |
R |
3.9340214169688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40584bc1 |
Quadratic twists by: -3 |