Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600be |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-30482432000 = -1 · 216 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-8400] |
[a1,a2,a3,a4,a6] |
Generators |
[69:567:1] |
Generators of the group modulo torsion |
j |
108/3721 |
j-invariant |
L |
4.7769716105072 |
L(r)(E,1)/r! |
Ω |
0.54133639967752 |
Real period |
R |
4.4122024597049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cn2 12200k2 97600bf2 |
Quadratic twists by: -4 8 5 |