Atkin-Lehner |
3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23175j |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-285095953125 = -1 · 311 · 56 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,-31728] |
[a1,a2,a3,a4,a6] |
j |
-24137569/25029 |
j-invariant |
L |
1.5112957420385 |
L(r)(E,1)/r! |
Ω |
0.37782393550965 |
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 |
7725a1 927a1 |
Quadratic twists by: -3 5 |