Atkin-Lehner |
2+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21850a |
Isogeny class |
Conductor |
21850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56000 |
Modular degree for the optimal curve |
Δ |
61145258500000 = 25 · 56 · 19 · 235 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10251,133398] |
[a1,a2,a3,a4,a6] |
Generators |
[-32382:191556:343] |
Generators of the group modulo torsion |
j |
7623273198241/3913296544 |
j-invariant |
L |
4.893523071017 |
L(r)(E,1)/r! |
Ω |
0.5496269977702 |
Real period |
R |
8.9033528026638 |
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 |
874e1 |
Quadratic twists by: 5 |