Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bs |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7498339620749312 = -1 · 223 · 197 |
Discriminant |
Eigenvalues |
2- 1 4 -3 2 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,4166047] |
[a1,a2,a3,a4,a6] |
Generators |
[183:3200:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
7.5391857538773 |
L(r)(E,1)/r! |
Ω |
0.33224797712343 |
Real period |
R |
2.8364302693244 |
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 |
23104r1 5776o1 1216j1 |
Quadratic twists by: -4 8 -19 |