Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560bk |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-914472960 = -1 · 214 · 3 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,239,-241] |
[a1,a2,a3,a4,a6] |
Generators |
[10:57:1] |
Generators of the group modulo torsion |
j |
91765424/55815 |
j-invariant |
L |
5.6087952768115 |
L(r)(E,1)/r! |
Ω |
0.91255365014292 |
Real period |
R |
3.0731317966609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cm2 7320m2 |
Quadratic twists by: -4 8 |