Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600c |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-240625000000000 = -1 · 29 · 514 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15325,-154250] |
[a1,a2,a3,a4,a6] |
Generators |
[334:6498:1] |
Generators of the group modulo torsion |
j |
49754821752/30078125 |
j-invariant |
L |
3.8749238693107 |
L(r)(E,1)/r! |
Ω |
0.32312569694369 |
Real period |
R |
5.996000791519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600bp2 123200o3 12320j4 |
Quadratic twists by: -4 8 5 |