Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805r |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
23120926849288845 = 310 · 5 · 238 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -1 6 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73002,2028847] |
[a1,a2,a3,a4,a6] |
j |
753664/405 |
j-invariant |
L |
1.9933434035303 |
L(r)(E,1)/r! |
Ω |
0.33222390058841 |
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 |
7935a1 119025s1 23805j1 |
Quadratic twists by: -3 5 -23 |