Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465j |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-15436575 = -1 · 36 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,-189] |
[a1,a2,a3,a4,a6] |
j |
-1/21175 |
j-invariant |
L |
2.0263725156391 |
L(r)(E,1)/r! |
Ω |
1.0131862578195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cx1 385b1 17325t1 24255bt1 |
Quadratic twists by: -4 -3 5 -7 |