Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120bh |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
387548045337600 = 210 · 38 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-182307,29945806] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:7200:1] |
Generators of the group modulo torsion |
j |
897648398946436/519156225 |
j-invariant |
L |
6.7670550730497 |
L(r)(E,1)/r! |
Ω |
0.52816378072793 |
Real period |
R |
3.2031044726185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996317 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26040f2 |
Quadratic twists by: -3 |