Atkin-Lehner |
3- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837g |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4434928859907 = -1 · 39 · 73 · 134 · 23 |
Discriminant |
Eigenvalues |
2 3- 0 7+ -3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20775,-1156995] |
[a1,a2,a3,a4,a6] |
j |
-1360251712000000/6083578683 |
j-invariant |
L |
3.1804463352821 |
L(r)(E,1)/r! |
Ω |
0.19877789595513 |
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 |
6279j1 |
Quadratic twists by: -3 |