Atkin-Lehner |
2- 5+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21460d |
Isogeny class |
Conductor |
21460 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
6815867680000 = 28 · 54 · 292 · 373 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 -5 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37768,2822308] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:950:1] [-164:2146:1] |
Generators of the group modulo torsion |
j |
23273178961895424/26624483125 |
j-invariant |
L |
4.12154160023 |
L(r)(E,1)/r! |
Ω |
0.74569068694706 |
Real period |
R |
0.15353184460685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85840g1 107300i1 |
Quadratic twists by: -4 5 |