Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056w |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
198240 |
Modular degree for the optimal curve |
Δ |
-541143210608 = -1 · 24 · 72 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3 -4 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413,-35245] |
[a1,a2,a3,a4,a6] |
Generators |
[831:2197:27] |
Generators of the group modulo torsion |
j |
9937057536/690233687 |
j-invariant |
L |
9.0685306330623 |
L(r)(E,1)/r! |
Ω |
0.44055077181696 |
Real period |
R |
1.4703235801856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112l1 56056m1 |
Quadratic twists by: -4 -7 |