Atkin-Lehner |
5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36335d |
Isogeny class |
Conductor |
36335 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-24944731705595 = -1 · 5 · 137 · 433 |
Discriminant |
Eigenvalues |
1 1 5- -2 -2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,672,-240147] |
[a1,a2,a3,a4,a6] |
j |
6967871/5167955 |
j-invariant |
L |
1.2540505103735 |
L(r)(E,1)/r! |
Ω |
0.31351262759923 |
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 |
2795a1 |
Quadratic twists by: 13 |