Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496g |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-76981976064 = -1 · 210 · 32 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,10800] |
[a1,a2,a3,a4,a6] |
Generators |
[5348:56160:343] |
Generators of the group modulo torsion |
j |
415292/639 |
j-invariant |
L |
9.812885571571 |
L(r)(E,1)/r! |
Ω |
0.73970357709214 |
Real period |
R |
6.6329850713641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1704a1 |
Quadratic twists by: -7 |