Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056q |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2856960 |
Modular degree for the optimal curve |
Δ |
-1.1472229464607E+21 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 11+ 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1585052,1437234484] |
[a1,a2,a3,a4,a6] |
Generators |
[492:48334:1] |
Generators of the group modulo torsion |
j |
14622648823378944/38090758396691 |
j-invariant |
L |
2.6526640229808 |
L(r)(E,1)/r! |
Ω |
0.10808492674132 |
Real period |
R |
3.0678005979276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112q1 8008d1 |
Quadratic twists by: -4 -7 |