Atkin-Lehner |
3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23175i |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-43298947880859375 = -1 · 316 · 510 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 -6 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,70195,6981572] |
[a1,a2,a3,a4,a6] |
j |
5373044975/6082047 |
j-invariant |
L |
0.48032162162994 |
L(r)(E,1)/r! |
Ω |
0.24016081081499 |
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 |
7725i1 23175v1 |
Quadratic twists by: -3 5 |