Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bx |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1196064768 = 215 · 3 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2913,61473] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:92:1] |
Generators of the group modulo torsion |
j |
6859000/3 |
j-invariant |
L |
6.8727726142263 |
L(r)(E,1)/r! |
Ω |
1.5143906926319 |
Real period |
R |
2.2691543981374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568di2 50784i2 101568bz2 |
Quadratic twists by: -4 8 -23 |