Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3021882998701E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-666808,-587447888] |
[a1,a2,a3,a4,a6] |
Generators |
[5322:382850:1] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
3.8935405931433 |
L(r)(E,1)/r! |
Ω |
0.076252420847533 |
Real period |
R |
6.3826507898525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3675j6 2352v6 8400cd6 |
Quadratic twists by: -4 5 -7 |