Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bt |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-27547634005056 = -1 · 26 · 36 · 112 · 474 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 5 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11144,521227] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:893:1] |
Generators of the group modulo torsion |
j |
-1734992444097/312299584 |
j-invariant |
L |
7.1117003827863 |
L(r)(E,1)/r! |
Ω |
0.64033401370716 |
Real period |
R |
0.23137990655691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374c1 102366u1 |
Quadratic twists by: -3 -11 |