Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275o |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-363671875 = -1 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -3 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,175,-219] |
[a1,a2,a3,a4,a6] |
j |
774144/475 |
j-invariant |
L |
3.9322128077921 |
L(r)(E,1)/r! |
Ω |
0.98305320194804 |
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 |
4655f1 23275e1 |
Quadratic twists by: 5 -7 |