Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170q |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-551288452148437500 = -1 · 22 · 37 · 516 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,164646,24756160] |
[a1,a2,a3,a4,a6] |
Generators |
[21:5302:1] |
Generators of the group modulo torsion |
j |
677092888826881631/756225585937500 |
j-invariant |
L |
4.3627023158526 |
L(r)(E,1)/r! |
Ω |
0.19407283725273 |
Real period |
R |
1.404982266456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390m4 |
Quadratic twists by: -3 |