Atkin-Lehner |
2- 3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464r |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-22111322112 = -1 · 220 · 33 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,-5454] |
[a1,a2,a3,a4,a6] |
Generators |
[1830:15778:27] |
Generators of the group modulo torsion |
j |
144703125/199936 |
j-invariant |
L |
8.4633952786031 |
L(r)(E,1)/r! |
Ω |
0.64177643815756 |
Real period |
R |
6.5937254492115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14058a1 112464p1 |
Quadratic twists by: -4 -3 |