Atkin-Lehner |
2+ 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550m |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2289478952250000 = 24 · 34 · 56 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51975,-3958875] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:855:1] |
Generators of the group modulo torsion |
j |
993802845830257/146526652944 |
j-invariant |
L |
3.2515236625916 |
L(r)(E,1)/r! |
Ω |
0.31930884220478 |
Real period |
R |
0.84858378285123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97650ec2 1302o2 |
Quadratic twists by: -3 5 |