Atkin-Lehner |
2+ 3- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818o |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-229903043198976 = -1 · 216 · 312 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11331,867541] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1181:1] |
Generators of the group modulo torsion |
j |
-220710229202737/315367686144 |
j-invariant |
L |
2.5657175219903 |
L(r)(E,1)/r! |
Ω |
0.50237554860105 |
Real period |
R |
1.2767926136045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998563874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39606n1 |
Quadratic twists by: -3 |