Atkin-Lehner |
2+ 5- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310k |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22729850 = 2 · 52 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11+ 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119,475] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:32:1] |
Generators of the group modulo torsion |
j |
187247420361/22729850 |
j-invariant |
L |
3.3790203193301 |
L(r)(E,1)/r! |
Ω |
2.0671960391184 |
Real period |
R |
0.81729556737424 |
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 |
121550bg2 |
Quadratic twists by: 5 |