Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104w |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-11829248 = -1 · 215 · 192 |
Discriminant |
Eigenvalues |
2+ -3 -2 2 -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,304] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [4:8:1] |
Generators of the group modulo torsion |
j |
-4104 |
j-invariant |
L |
4.7250680859557 |
L(r)(E,1)/r! |
Ω |
2.1540824577367 |
Real period |
R |
0.54838523810757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104v1 11552l1 23104f1 |
Quadratic twists by: -4 8 -19 |