Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184bd |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-25960144896 = -1 · 213 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,40122] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:216:1] |
Generators of the group modulo torsion |
j |
-14348907/322 |
j-invariant |
L |
6.0318037456063 |
L(r)(E,1)/r! |
Ω |
1.1896522243376 |
Real period |
R |
0.63377805107758 |
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 |
2898k1 92736di1 23184be1 |
Quadratic twists by: -4 8 -3 |