Atkin-Lehner |
3+ 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185i |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-51239643755083875 = -1 · 33 · 53 · 73 · 13 · 237 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 6 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8163,-10887135] |
[a1,a2,a3,a4,a6] |
j |
2227969993715712/1897764583521625 |
j-invariant |
L |
6.9680014577112 |
L(r)(E,1)/r! |
Ω |
0.16590479192506 |
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 |
94185c1 |
Quadratic twists by: -3 |