Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45084n |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-120569845194864 = -1 · 24 · 35 · 135 · 174 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 1 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5106,-507591] |
[a1,a2,a3,a4,a6] |
j |
11014515968/90224199 |
j-invariant |
L |
4.3823710027518 |
L(r)(E,1)/r! |
Ω |
0.29215806686229 |
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 |
45084d1 |
Quadratic twists by: 17 |