Atkin-Lehner |
3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
23607f |
Isogeny class |
Conductor |
23607 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
5736501 = 37 · 43 · 61 |
Discriminant |
Eigenvalues |
0 3- -1 0 -4 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11208,-456710] |
[a1,a2,a3,a4,a6] |
j |
213589820440576/7869 |
j-invariant |
L |
0.92799902671826 |
L(r)(E,1)/r! |
Ω |
0.46399951335914 |
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 |
7869b1 |
Quadratic twists by: -3 |