Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170bh |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.5842865622904E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1243372352,16875549454691] |
[a1,a2,a3,a4,a6] |
j |
291608246631385486957091846329/90319431581487360 |
j-invariant |
L |
3.7295659427745 |
L(r)(E,1)/r! |
Ω |
0.1165489357108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390h3 |
Quadratic twists by: -3 |