Atkin-Lehner |
2- 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970s |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
1.5155517606011E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-651171,76256001] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:16377:1] |
Generators of the group modulo torsion |
j |
30535772169146961137329/15155517606010560000 |
j-invariant |
L |
9.3274156212116 |
L(r)(E,1)/r! |
Ω |
0.19627837764166 |
Real period |
R |
0.2640075605679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910o2 119850m2 |
Quadratic twists by: -3 5 |