Atkin-Lehner |
2+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550b |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4970800 = -1 · 24 · 52 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 3 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-542,4996] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1:1] |
Generators of the group modulo torsion |
j |
-705069950625/198832 |
j-invariant |
L |
3.8024901068445 |
L(r)(E,1)/r! |
Ω |
2.3747677741098 |
Real period |
R |
0.40030125769564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550bg1 |
Quadratic twists by: 5 |