Atkin-Lehner |
2+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056a |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-2229087132272 = -1 · 24 · 78 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2172,-82447] |
[a1,a2,a3,a4,a6] |
Generators |
[2784:24157:27] |
Generators of the group modulo torsion |
j |
-12291328/24167 |
j-invariant |
L |
8.2151137062569 |
L(r)(E,1)/r! |
Ω |
0.32875269890592 |
Real period |
R |
4.1647889804466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112b1 56056d1 |
Quadratic twists by: -4 -7 |