Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170q |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6994395056250000 = 24 · 38 · 58 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58374,3658468] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:3034:1] |
Generators of the group modulo torsion |
j |
30175795651464289/9594506250000 |
j-invariant |
L |
4.3627023158526 |
L(r)(E,1)/r! |
Ω |
0.38814567450546 |
Real period |
R |
0.70249113322799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390m2 |
Quadratic twists by: -3 |