Atkin-Lehner |
2+ 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720a |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
28186880 = 28 · 5 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,0] |
[a1,a2,a3,a4,a6] |
Generators |
[363:946:27] |
Generators of the group modulo torsion |
j |
192143824/110105 |
j-invariant |
L |
8.8130009682919 |
L(r)(E,1)/r! |
Ω |
1.752131524802 |
Real period |
R |
5.0298741008983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46360a1 |
Quadratic twists by: -4 |