Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960b |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1964074302701568000 = 224 · 32 · 53 · 1014 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24589601,-46924434015] |
[a1,a2,a3,a4,a6] |
Generators |
[-267703107822744:-20575450096057:93514842819] |
Generators of the group modulo torsion |
j |
6272465093863725846601/7492348872000 |
j-invariant |
L |
3.0032877526794 |
L(r)(E,1)/r! |
Ω |
0.067797193108949 |
Real period |
R |
22.149056681611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960da4 3030n3 |
Quadratic twists by: -4 8 |