Atkin-Lehner |
2- 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310t |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
340038556000 = 25 · 53 · 113 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11+ 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48886,-4164284] |
[a1,a2,a3,a4,a6] |
Generators |
[-3462:1786:27] |
Generators of the group modulo torsion |
j |
12920454102960993889/340038556000 |
j-invariant |
L |
7.4076603530188 |
L(r)(E,1)/r! |
Ω |
0.32107320876173 |
Real period |
R |
4.6143123442704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550d2 |
Quadratic twists by: 5 |