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 |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
14532392366899200 = 218 · 310 · 52 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-530851,148712705] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-919:1] |
Generators of the group modulo torsion |
j |
16544044236927440400049/14532392366899200 |
j-invariant |
L |
9.3274156212116 |
L(r)(E,1)/r! |
Ω |
0.39255675528331 |
Real period |
R |
0.13200378028395 |
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 |
71910o1 119850m1 |
Quadratic twists by: -3 5 |