Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305k |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-150675 = -1 · 3 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,0,-19] |
[a1,a2,a3,a4,a6] |
j |
-4096/150675 |
j-invariant |
L |
5.9351540653497 |
L(r)(E,1)/r! |
Ω |
1.4837885163374 |
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 |
68880bz1 12915h1 21525n1 30135f1 |
Quadratic twists by: -4 -3 5 -7 |