Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550bg |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
414 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-95455936512000000 = -1 · 223 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4557938,3745071492] |
[a1,a2,a3,a4,a6] |
Generators |
[1252:-1826:1] |
Generators of the group modulo torsion |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
6.3627938535921 |
L(r)(E,1)/r! |
Ω |
0.30444682547142 |
Real period |
R |
0.050481942964621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400ba1 16650n1 222e1 |
Quadratic twists by: -4 -3 5 |