Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512a |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1520370432 = -1 · 28 · 33 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,-1872] |
[a1,a2,a3,a4,a6] |
Generators |
[616:15276:1] |
Generators of the group modulo torsion |
j |
-810448/5938947 |
j-invariant |
L |
4.9921649379808 |
L(r)(E,1)/r! |
Ω |
0.68580608242009 |
Real period |
R |
3.6396330288908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11256g2 90048bv2 67536l2 |
Quadratic twists by: -4 8 -3 |