Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520a |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4981222400 = 210 · 52 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-1444] |
[a1,a2,a3,a4,a6] |
Generators |
[26:60:1] |
Generators of the group modulo torsion |
j |
10262905636/4864475 |
j-invariant |
L |
7.5580591126262 |
L(r)(E,1)/r! |
Ω |
1.0820945043022 |
Real period |
R |
1.7461642866153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040i2 |
Quadratic twists by: -4 |