Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ca |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
276315912437760000 = 218 · 310 · 54 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299532,57807344] |
[a1,a2,a3,a4,a6] |
Generators |
[-572:6480:1] |
Generators of the group modulo torsion |
j |
15551989015681/1445900625 |
j-invariant |
L |
6.5253243610105 |
L(r)(E,1)/r! |
Ω |
0.30090273335311 |
Real period |
R |
2.7107282676928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440ex4 585f3 12480a3 |
Quadratic twists by: -4 8 -3 |