Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104bh |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-438976 = -1 · 26 · 193 |
Discriminant |
Eigenvalues |
2- -2 -3 -3 -1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] [6:19:1] |
Generators of the group modulo torsion |
j |
512 |
j-invariant |
L |
4.2320671271045 |
L(r)(E,1)/r! |
Ω |
2.0518775670995 |
Real period |
R |
1.0312669710324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104be1 11552b1 23104bf1 |
Quadratic twists by: -4 8 -19 |