Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440do |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5338064609280000 = 216 · 33 · 54 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151212,22357584] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:1040:1] [1218:-40560:1] |
Generators of the group modulo torsion |
j |
216092050322508/3016755625 |
j-invariant |
L |
8.8681186126436 |
L(r)(E,1)/r! |
Ω |
0.43072152885455 |
Real period |
R |
0.42893716408388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440v2 9360a2 37440dd2 |
Quadratic twists by: -4 8 -3 |