Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800dd |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-787781632000 = -1 · 214 · 53 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1312,39028] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:110:1] [-6:176:1] |
Generators of the group modulo torsion |
j |
487443403/1538636 |
j-invariant |
L |
7.5681812748309 |
L(r)(E,1)/r! |
Ω |
0.63263233238627 |
Real period |
R |
0.9969167565629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350bg1 74800dk1 |
Quadratic twists by: -4 5 |