Atkin-Lehner |
2+ 3+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714b |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
66559772202 = 2 · 3 · 73 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10857,430755] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:940:1] [47:141:1] |
Generators of the group modulo torsion |
j |
141551907521696281/66559772202 |
j-invariant |
L |
3.9651378665317 |
L(r)(E,1)/r! |
Ω |
1.0845527526427 |
Real period |
R |
1.2186706630515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65142be2 |
Quadratic twists by: -3 |