Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080bm |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
245329920 = 212 · 32 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2625,-50895] |
[a1,a2,a3,a4,a6] |
Generators |
[71:340:1] |
Generators of the group modulo torsion |
j |
367061696/45 |
j-invariant |
L |
5.2217156430432 |
L(r)(E,1)/r! |
Ω |
0.6669705164627 |
Real period |
R |
3.9145026012144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080t2 116160cq1 58080g2 |
Quadratic twists by: -4 8 -11 |