Atkin-Lehner |
2+ 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826h |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-403163307638784 = -1 · 216 · 311 · 7 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 7 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6930,938452] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-1174:1] |
Generators of the group modulo torsion |
j |
50484799522079/553036087296 |
j-invariant |
L |
3.948735139867 |
L(r)(E,1)/r! |
Ω |
0.39235119161764 |
Real period |
R |
1.2580359204647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18942k1 |
Quadratic twists by: -3 |