Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120bk |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
134565293520 = 24 · 36 · 5 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35922,2620469] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:1953:1] |
Generators of the group modulo torsion |
j |
439498833516544/11536805 |
j-invariant |
L |
8.0853550034357 |
L(r)(E,1)/r! |
Ω |
0.96341769748636 |
Real period |
R |
1.0490458894527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680f1 |
Quadratic twists by: -3 |