Atkin-Lehner |
3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675p |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2233048651875 = -1 · 316 · 54 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 -3 -4 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18905,1007772] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1098:1] |
Generators of the group modulo torsion |
j |
-1639927598425/4901067 |
j-invariant |
L |
3.3352600926129 |
L(r)(E,1)/r! |
Ω |
0.8243026304355 |
Real period |
R |
1.0115399276509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6225b1 18675l1 |
Quadratic twists by: -3 5 |