Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056n |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-112112 = -1 · 24 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
224000/143 |
j-invariant |
L |
3.7839368966774 |
L(r)(E,1)/r! |
Ω |
2.0748082575052 |
Real period |
R |
0.91187628617276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112n1 56056l1 |
Quadratic twists by: -4 -7 |