Atkin-Lehner |
2+ 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720g |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-107943788160000 = -1 · 210 · 36 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11544,-152100] |
[a1,a2,a3,a4,a6] |
Generators |
[50:740:1] |
Generators of the group modulo torsion |
j |
166132686646364/105413855625 |
j-invariant |
L |
5.5904635772193 |
L(r)(E,1)/r! |
Ω |
0.3412795440176 |
Real period |
R |
2.047611582439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440ba2 |
Quadratic twists by: -4 |