Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712q |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31000315953152 = 217 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27265,-1721121] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:112:1] |
Generators of the group modulo torsion |
j |
3543122/49 |
j-invariant |
L |
2.0474538667369 |
L(r)(E,1)/r! |
Ω |
0.37184368998262 |
Real period |
R |
1.3765554746893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712cx2 9464g2 448h2 |
Quadratic twists by: -4 8 13 |