Atkin-Lehner |
2- 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310t |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
67311861760 = 215 · 5 · 11 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11+ 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1046,3620] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:30:1] |
Generators of the group modulo torsion |
j |
126574061279329/67311861760 |
j-invariant |
L |
7.4076603530188 |
L(r)(E,1)/r! |
Ω |
0.9632196262852 |
Real period |
R |
1.5381041147568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121550d1 |
Quadratic twists by: 5 |