Atkin-Lehner |
2- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870k |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
5603468643942400 = 214 · 52 · 76 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75198,-7054003] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:835:1] |
Generators of the group modulo torsion |
j |
47025905618506997169/5603468643942400 |
j-invariant |
L |
6.6355647002053 |
L(r)(E,1)/r! |
Ω |
0.29054829843452 |
Real period |
R |
1.6312912851711 |
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 |
119350l2 |
Quadratic twists by: 5 |