Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805f |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
1197415305 = 39 · 5 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 -4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272,514] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:28:1] |
Generators of the group modulo torsion |
j |
9261/5 |
j-invariant |
L |
3.8599872923411 |
L(r)(E,1)/r! |
Ω |
1.3431314745502 |
Real period |
R |
2.8738715200116 |
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 |
23805a1 119025g1 23805b1 |
Quadratic twists by: -3 5 -23 |