Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056r |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-2743491855104 = -1 · 28 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1111,-78037] |
[a1,a2,a3,a4,a6] |
j |
5030912/91091 |
j-invariant |
L |
3.1456322540712 |
L(r)(E,1)/r! |
Ω |
0.39320403168119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112t1 8008b1 |
Quadratic twists by: -4 -7 |