Atkin-Lehner |
3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837k |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
10166335256526813 = 38 · 73 · 135 · 233 |
Discriminant |
Eigenvalues |
2 3- 4 7- 5 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-84423,-8099879] |
[a1,a2,a3,a4,a6] |
j |
91280608490377216/13945590200997 |
j-invariant |
L |
8.488667873845 |
L(r)(E,1)/r! |
Ω |
0.28295559579483 |
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 |
6279g1 |
Quadratic twists by: -3 |