Atkin-Lehner |
13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66079b |
Isogeny class |
Conductor |
66079 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149184 |
Modular degree for the optimal curve |
Δ |
-7090519672483 = -1 · 137 · 173 · 23 |
Discriminant |
Eigenvalues |
2 -2 0 2 0 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3098,-145323] |
[a1,a2,a3,a4,a6] |
j |
-681472000/1468987 |
j-invariant |
L |
3.597337654668 |
L(r)(E,1)/r! |
Ω |
0.29977813778978 |
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 |
5083e1 |
Quadratic twists by: 13 |