Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17784s |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-911458738944 = -1 · 28 · 38 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2388,64244] |
[a1,a2,a3,a4,a6] |
Generators |
[4:234:1] |
Generators of the group modulo torsion |
j |
-8069733376/4883931 |
j-invariant |
L |
4.5846506238185 |
L(r)(E,1)/r! |
Ω |
0.81945569185647 |
Real period |
R |
0.34967194301806 |
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 |
35568q1 5928c1 |
Quadratic twists by: -4 -3 |