Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184v |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-811254528 = -1 · 28 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -3 -4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,1836] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:46:1] [-6:54:1] |
Generators of the group modulo torsion |
j |
-221184/161 |
j-invariant |
L |
6.7191720179468 |
L(r)(E,1)/r! |
Ω |
1.4624312046449 |
Real period |
R |
1.1486304443939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5796c1 92736cw1 23184ba1 |
Quadratic twists by: -4 8 -3 |