Atkin-Lehner |
3+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4623a |
Isogeny class |
Conductor |
4623 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
4623 = 3 · 23 · 67 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 -3 -6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] [6:12:1] |
Generators of the group modulo torsion |
j |
18609625/4623 |
j-invariant |
L |
4.5401725101098 |
L(r)(E,1)/r! |
Ω |
3.1712380416538 |
Real period |
R |
1.431671937103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73968o1 13869d1 115575g1 106329a1 |
Quadratic twists by: -4 -3 5 -23 |