Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016l |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30767874048 = -1 · 215 · 32 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1249,19393] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:187:1] [-3:152:1] |
Generators of the group modulo torsion |
j |
-6581255624/938961 |
j-invariant |
L |
6.6332437587135 |
L(r)(E,1)/r! |
Ω |
1.135214780767 |
Real period |
R |
0.7303952378776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016y2 31008t2 |
Quadratic twists by: -4 8 |