Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330g |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5900366060316000000 = 28 · 39 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23506485,-43860131659] |
[a1,a2,a3,a4,a6] |
Generators |
[153669:-2285240:27] |
Generators of the group modulo torsion |
j |
620307836233921107/2548000000 |
j-invariant |
L |
4.5664587449287 |
L(r)(E,1)/r! |
Ω |
0.068565040632621 |
Real period |
R |
8.3250492944567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330dk2 8190f2 |
Quadratic twists by: -3 -7 |