Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720b |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
146086087680 = 210 · 33 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106616,13434876] |
[a1,a2,a3,a4,a6] |
Generators |
[673:15686:1] |
Generators of the group modulo torsion |
j |
130886538742068196/142662195 |
j-invariant |
L |
5.5127871883169 |
L(r)(E,1)/r! |
Ω |
0.86778630219024 |
Real period |
R |
6.352701321253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440t4 |
Quadratic twists by: -4 |