Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520a |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
20599040 = 28 · 5 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,1460] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1122:1] |
Generators of the group modulo torsion |
j |
5702413264/80465 |
j-invariant |
L |
7.5580591126262 |
L(r)(E,1)/r! |
Ω |
2.1641890086044 |
Real period |
R |
3.4923285732306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040i1 |
Quadratic twists by: -4 |