Atkin-Lehner |
2- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58960h |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
259424000 = 28 · 53 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44663,-3633038] |
[a1,a2,a3,a4,a6] |
Generators |
[112306490250222:-2112259075974289:240874053048] |
Generators of the group modulo torsion |
j |
38488184010250704/1013375 |
j-invariant |
L |
3.9160684718659 |
L(r)(E,1)/r! |
Ω |
0.32840713387461 |
Real period |
R |
23.848863607181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14740b2 |
Quadratic twists by: -4 |