Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464i |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
8606589209856 = 28 · 316 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11- 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556,-74068] |
[a1,a2,a3,a4,a6] |
Generators |
[-1795:6561:125] |
Generators of the group modulo torsion |
j |
101634915328/46117269 |
j-invariant |
L |
8.3884608229214 |
L(r)(E,1)/r! |
Ω |
0.57715612655527 |
Real period |
R |
3.6335318983681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56232m1 37488g1 |
Quadratic twists by: -4 -3 |