Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104i |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-676725150772625408 = -1 · 221 · 199 |
Discriminant |
Eigenvalues |
2+ -3 -2 -3 2 3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27436,39617584] |
[a1,a2,a3,a4,a6] |
Generators |
[1444:54872:1] |
Generators of the group modulo torsion |
j |
-27/8 |
j-invariant |
L |
2.1530515600222 |
L(r)(E,1)/r! |
Ω |
0.23337884311605 |
Real period |
R |
2.3063911142018 |
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 |
23104bk1 722d1 23104g1 |
Quadratic twists by: -4 8 -19 |