Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120bl |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
387548045337600 = 210 · 38 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68547,6842414] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:3472:1] |
Generators of the group modulo torsion |
j |
47715731304196/519156225 |
j-invariant |
L |
6.4449076161294 |
L(r)(E,1)/r! |
Ω |
0.53664854589224 |
Real period |
R |
1.5011937667144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26040a2 |
Quadratic twists by: -3 |