Atkin-Lehner |
11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79937d |
Isogeny class |
Conductor |
79937 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
-1333419305814955073 = -1 · 113 · 1312 · 43 |
Discriminant |
Eigenvalues |
-1 1 -2 0 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-501004,147324865] |
[a1,a2,a3,a4,a6] |
j |
-2881291727232073/276252759497 |
j-invariant |
L |
1.5883883458217 |
L(r)(E,1)/r! |
Ω |
0.26473138723481 |
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 |
6149a1 |
Quadratic twists by: 13 |