Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bx |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-803611116542492672 = -1 · 217 · 1910 |
Discriminant |
Eigenvalues |
2- -1 4 0 3 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173761,-51298207] |
[a1,a2,a3,a4,a6] |
Generators |
[33799052669904743:1204789326433101560:23810817080609] |
Generators of the group modulo torsion |
j |
-722 |
j-invariant |
L |
6.0707186273807 |
L(r)(E,1)/r! |
Ω |
0.11128368781943 |
Real period |
R |
27.275869205697 |
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 |
23104p1 5776e1 23104bc1 |
Quadratic twists by: -4 8 -19 |