Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440es |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1021878374400 = 212 · 310 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3108,-45632] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:104:1] [-36:140:1] |
Generators of the group modulo torsion |
j |
1111934656/342225 |
j-invariant |
L |
7.4844437655162 |
L(r)(E,1)/r! |
Ω |
0.65476002053334 |
Real period |
R |
2.8577049341759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440ep2 18720bn1 12480dh2 |
Quadratic twists by: -4 8 -3 |