Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805d |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-8926875 = -1 · 33 · 54 · 232 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 2 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-483,4088] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:70:1] [6:37:1] |
Generators of the group modulo torsion |
j |
-872460288/625 |
j-invariant |
L |
4.0365594200369 |
L(r)(E,1)/r! |
Ω |
2.2932884171921 |
Real period |
R |
0.44004053194707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23805g1 119025j1 23805h1 |
Quadratic twists by: -3 5 -23 |