Atkin-Lehner |
5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53465g |
Isogeny class |
Conductor |
53465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
558181283125 = 54 · 176 · 37 |
Discriminant |
Eigenvalues |
-2 -1 5- 5 -3 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45180,3711228] |
[a1,a2,a3,a4,a6] |
Generators |
[159:722:1] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
2.6992081076551 |
L(r)(E,1)/r! |
Ω |
0.87145000001686 |
Real period |
R |
0.38717197021957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
185a1 |
Quadratic twists by: 17 |