Atkin-Lehner |
7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27209h |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
24256129480037 = 75 · 137 · 23 |
Discriminant |
Eigenvalues |
-2 2 -2 7+ -3 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30814,-2058184] |
[a1,a2,a3,a4,a6] |
j |
670381355008/5025293 |
j-invariant |
L |
0.72100391440017 |
L(r)(E,1)/r! |
Ω |
0.36050195720044 |
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 |
2093j1 |
Quadratic twists by: 13 |