Atkin-Lehner |
2+ 3+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710f |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
82399706396304300 = 22 · 35 · 52 · 234 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167963,22541217] |
[a1,a2,a3,a4,a6] |
Generators |
[-416:4751:1] |
Generators of the group modulo torsion |
j |
524045047723039624249/82399706396304300 |
j-invariant |
L |
4.0552089380415 |
L(r)(E,1)/r! |
Ω |
0.32722826104857 |
Real period |
R |
3.0981499924914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122130bv3 |
Quadratic twists by: -3 |