Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440de |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6.2447805769993E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5068428,-2198584048] |
[a1,a2,a3,a4,a6] |
Generators |
[-25386:1124864:27] |
Generators of the group modulo torsion |
j |
2034416504287874043/882294347833600 |
j-invariant |
L |
4.5018336882984 |
L(r)(E,1)/r! |
Ω |
0.1046730254281 |
Real period |
R |
1.0752134253038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440h2 9360bd2 37440dm2 |
Quadratic twists by: -4 8 -3 |