Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184by |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
492281266176 = 222 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,8930] |
[a1,a2,a3,a4,a6] |
Generators |
[2:70:1] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
6.2090716877147 |
L(r)(E,1)/r! |
Ω |
0.81303658724633 |
Real period |
R |
3.8184454335224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2898d1 92736fn1 2576p1 |
Quadratic twists by: -4 8 -3 |