Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960a |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1424660503265280 = 216 · 316 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51841,-4147199] |
[a1,a2,a3,a4,a6] |
Generators |
[323:3564:1] |
Generators of the group modulo torsion |
j |
235110632607364/21738594105 |
j-invariant |
L |
3.4500041087309 |
L(r)(E,1)/r! |
Ω |
0.31826927748521 |
Real period |
R |
5.4199452172502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960cz4 12120j3 |
Quadratic twists by: -4 8 |