Atkin-Lehner |
2+ 3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070c |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
279389005056000000 = 214 · 39 · 56 · 7 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16508814,25822075220] |
[a1,a2,a3,a4,a6] |
Generators |
[2284:4042:1] |
Generators of the group modulo torsion |
j |
25280173947824001423027/14194432000000 |
j-invariant |
L |
5.5104123257196 |
L(r)(E,1)/r! |
Ω |
0.25390966129543 |
Real period |
R |
1.8085212859197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070p2 |
Quadratic twists by: -3 |