Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bh |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25545375000000000 = -1 · 29 · 35 · 512 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34592,-7291688] |
[a1,a2,a3,a4,a6] |
Generators |
[393:8176:1] |
Generators of the group modulo torsion |
j |
572200439608/3193171875 |
j-invariant |
L |
2.3738601505852 |
L(r)(E,1)/r! |
Ω |
0.18901675832271 |
Real period |
R |
6.2794965157093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600bt2 13920n2 |
Quadratic twists by: -4 5 |