Atkin-Lehner |
2+ 3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950j |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
16561988381250000 = 24 · 32 · 58 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3249900,2253672000] |
[a1,a2,a3,a4,a6] |
Generators |
[405:31485:1] |
Generators of the group modulo torsion |
j |
242948313438117352129/1059967256400 |
j-invariant |
L |
4.1183890117274 |
L(r)(E,1)/r! |
Ω |
0.34449718654816 |
Real period |
R |
0.4981159510061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999101947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790p2 |
Quadratic twists by: 5 |