Atkin-Lehner |
7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56749k |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
22113628503287629 = 73 · 118 · 673 |
Discriminant |
Eigenvalues |
-1 -1 1 7- 11- -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2834125,1835244654] |
[a1,a2,a3,a4,a6] |
Generators |
[1458:27645:1] [-552:57125:1] |
Generators of the group modulo torsion |
j |
1421099916246680041/12482566789 |
j-invariant |
L |
5.6071312626032 |
L(r)(E,1)/r! |
Ω |
0.34353219683248 |
Real period |
R |
0.90677757496706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159f1 |
Quadratic twists by: -11 |