Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91960r |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2369639993600 = 28 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9236,-330460] |
[a1,a2,a3,a4,a6] |
Generators |
[334:5808:1] |
Generators of the group modulo torsion |
j |
192143824/5225 |
j-invariant |
L |
8.8694908299142 |
L(r)(E,1)/r! |
Ω |
0.48780446213833 |
Real period |
R |
2.2728089601067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360b1 |
Quadratic twists by: -11 |