Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bl |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1608768 |
Modular degree for the optimal curve |
Δ |
-5545744741155976 = -1 · 23 · 74 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 2 1 7- -6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-688615,219686629] |
[a1,a2,a3,a4,a6] |
j |
-2126299219921/326536 |
j-invariant |
L |
4.9659716367032 |
L(r)(E,1)/r! |
Ω |
0.41383097576067 |
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 |
85918x1 |
Quadratic twists by: -19 |