Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fk |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
121305600000000 = 215 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12492,-89424] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1000:1] [-59:665:1] |
Generators of the group modulo torsion |
j |
9024895368/5078125 |
j-invariant |
L |
8.3907325795254 |
L(r)(E,1)/r! |
Ω |
0.48600747231109 |
Real period |
R |
1.0790385253268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fg3 18720m2 4160l4 |
Quadratic twists by: -4 8 -3 |