Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282i |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
563987509722 = 2 · 312 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3102,-56066] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:51:1] |
Generators of the group modulo torsion |
j |
3299497626614617/563987509722 |
j-invariant |
L |
3.1798818958072 |
L(r)(E,1)/r! |
Ω |
0.64720153786199 |
Real period |
R |
0.81887987738509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256cb4 27846bd4 64974m4 120666ci4 |
Quadratic twists by: -4 -3 -7 13 |