Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bw |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-807410073600 = -1 · 218 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2292,-9232] |
[a1,a2,a3,a4,a6] |
Generators |
[14:160:1] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
4.6029418059405 |
L(r)(E,1)/r! |
Ω |
0.51899144557647 |
Real period |
R |
1.108626607715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440eo2 585h2 4160g2 |
Quadratic twists by: -4 8 -3 |