Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365s |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
75903017085 = 37 · 5 · 76 · 59 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 3 -3 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6190,-189059] |
[a1,a2,a3,a4,a6] |
j |
222985990144/645165 |
j-invariant |
L |
7.5365851907598 |
L(r)(E,1)/r! |
Ω |
0.5383275136163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
885a1 |
Quadratic twists by: -7 |