Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837p |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-4819992723 = -1 · 311 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
0 3- -2 7- -3 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,114,3307] |
[a1,a2,a3,a4,a6] |
Generators |
[1:58:1] |
Generators of the group modulo torsion |
j |
224755712/6611787 |
j-invariant |
L |
3.2593015552676 |
L(r)(E,1)/r! |
Ω |
1.0311809627525 |
Real period |
R |
0.79018660957617 |
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 |
6279c1 |
Quadratic twists by: -3 |