Atkin-Lehner |
2- 3+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
24564a |
Isogeny class |
Conductor |
24564 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29664 |
Modular degree for the optimal curve |
Δ |
-2334857328 = -1 · 24 · 32 · 23 · 893 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 -6 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-530,5421] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:89:1] |
Generators of the group modulo torsion |
j |
-1030980626176/145928583 |
j-invariant |
L |
2.8495960983759 |
L(r)(E,1)/r! |
Ω |
1.4076215112139 |
Real period |
R |
0.33740084197285 |
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 |
98256t1 73692c1 |
Quadratic twists by: -4 -3 |