Atkin-Lehner |
2- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19504g |
Isogeny class |
Conductor |
19504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-546833648 = -1 · 24 · 233 · 532 |
Discriminant |
Eigenvalues |
2- 1 -2 2 4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,1127] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:265:8] |
Generators of the group modulo torsion |
j |
1257728/34177103 |
j-invariant |
L |
5.7354719781912 |
L(r)(E,1)/r! |
Ω |
1.2973481548922 |
Real period |
R |
2.2104598355357 |
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 |
4876c1 78016l1 |
Quadratic twists by: -4 8 |