Atkin-Lehner |
3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725k |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294400 |
Modular degree for the optimal curve |
Δ |
739611791015625 = 310 · 59 · 112 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111513,-14319594] |
[a1,a2,a3,a4,a6] |
j |
78518214553661/378681237 |
j-invariant |
L |
0.52266595545923 |
L(r)(E,1)/r! |
Ω |
0.26133297774052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43725t1 |
Quadratic twists by: 5 |