Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320b |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
10024960 = 211 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11+ 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
9653618/4895 |
j-invariant |
L |
5.2116748662425 |
L(r)(E,1)/r! |
Ω |
1.8386816283173 |
Real period |
R |
1.4172314514208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39160e1 |
Quadratic twists by: -4 |