Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970x |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
131055975000000 = 26 · 38 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-273780,55112400] |
[a1,a2,a3,a4,a6] |
Generators |
[-540:7020:1] |
Generators of the group modulo torsion |
j |
2269493633308673229121/131055975000000 |
j-invariant |
L |
9.9904249295569 |
L(r)(E,1)/r! |
Ω |
0.55364608037335 |
Real period |
R |
0.75186607501581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71910f4 119850e4 |
Quadratic twists by: -3 5 |