Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dr |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7233963343674E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57659268,168508299008] |
[a1,a2,a3,a4,a6] |
Generators |
[-37503317:6849817585:12167] |
Generators of the group modulo torsion |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
6.0865444393124 |
L(r)(E,1)/r! |
Ω |
0.14235132890382 |
Real period |
R |
10.689300349675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440du2 18720bq1 12480cc2 |
Quadratic twists by: -4 8 -3 |