Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752l |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-950872832 = -1 · 28 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 3 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,188,-1168] |
[a1,a2,a3,a4,a6] |
Generators |
[8:28:1] |
Generators of the group modulo torsion |
j |
2855256752/3714347 |
j-invariant |
L |
5.4781487386277 |
L(r)(E,1)/r! |
Ω |
0.83730064372463 |
Real period |
R |
0.65426305111373 |
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 |
12376a1 99008co1 |
Quadratic twists by: -4 8 |