Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970x |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
132378831360000 = 212 · 34 · 54 · 172 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18100,754832] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:908:1] |
Generators of the group modulo torsion |
j |
655784181114926401/132378831360000 |
j-invariant |
L |
9.9904249295569 |
L(r)(E,1)/r! |
Ω |
0.55364608037335 |
Real period |
R |
1.5037321500316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
71910f2 119850e2 |
Quadratic twists by: -3 5 |