Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488y |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
713864935422296064 = 218 · 320 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4284984,3412396116] |
[a1,a2,a3,a4,a6] |
Generators |
[2790:114816:1] |
Generators of the group modulo torsion |
j |
2124278626065664981177/174283431499584 |
j-invariant |
L |
5.7968433283884 |
L(r)(E,1)/r! |
Ω |
0.27248775552162 |
Real period |
R |
4.2547550933372 |
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 |
4686a3 112464bo4 |
Quadratic twists by: -4 -3 |