Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bk |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2264761632656250000 = -1 · 24 · 36 · 510 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-335610,-104044284] |
[a1,a2,a3,a4,a6] |
j |
-48743122863889/26406250000 |
j-invariant |
L |
0.77384206001866 |
L(r)(E,1)/r! |
Ω |
0.096730257272017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370bb2 1170f2 |
Quadratic twists by: -3 -7 |