Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650cq |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
3461391360000000 = 216 · 33 · 57 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1762688,-900907008] |
[a1,a2,a3,a4,a6] |
Generators |
[1732:34384:1] |
Generators of the group modulo torsion |
j |
38764130353913837881/221529047040 |
j-invariant |
L |
13.42320361255 |
L(r)(E,1)/r! |
Ω |
0.13102550442216 |
Real period |
R |
4.2686357361294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330g1 |
Quadratic twists by: 5 |