Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bz |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-77294528640000 = -1 · 210 · 37 · 54 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9573,221254] |
[a1,a2,a3,a4,a6] |
Generators |
[3:500:1] |
Generators of the group modulo torsion |
j |
129969187484/103543125 |
j-invariant |
L |
6.54435939596 |
L(r)(E,1)/r! |
Ω |
0.39360306533951 |
Real period |
R |
2.0783499838702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999433 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920bm3 19320j4 |
Quadratic twists by: -4 -3 |