Atkin-Lehner |
13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123539h |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1678560 |
Modular degree for the optimal curve |
Δ |
-8416791820433560499 = -1 · 1310 · 175 · 43 |
Discriminant |
Eigenvalues |
1 1 3 -1 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,242173,131850253] |
[a1,a2,a3,a4,a6] |
j |
11393835167/61053851 |
j-invariant |
L |
3.3524110106803 |
L(r)(E,1)/r! |
Ω |
0.16762063865464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123539i1 |
Quadratic twists by: 13 |