Atkin-Lehner |
2- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19504i |
Isogeny class |
Conductor |
19504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-1033712 = -1 · 24 · 23 · 532 |
Discriminant |
Eigenvalues |
2- -3 4 0 2 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[10:5:1] |
Generators of the group modulo torsion |
j |
-2688885504/64607 |
j-invariant |
L |
4.411940774428 |
L(r)(E,1)/r! |
Ω |
0.81549641434321 |
Real period |
R |
2.7050644839323 |
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 |
4876a1 78016r1 |
Quadratic twists by: -4 8 |