Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bn |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-915450164969472 = -1 · 215 · 316 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18943,-1048257] |
[a1,a2,a3,a4,a6] |
Generators |
[842:11655:8] |
Generators of the group modulo torsion |
j |
22940196221944/27937321929 |
j-invariant |
L |
10.223295708024 |
L(r)(E,1)/r! |
Ω |
0.26675928125236 |
Real period |
R |
4.7905060945229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608f3 62304d2 |
Quadratic twists by: -4 8 |