Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094ci |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
728 |
Product of Tamagawa factors cp |
deg |
52416000 |
Modular degree for the optimal curve |
Δ |
-1.1650719974386E+28 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3467922701,78777600481077] |
[a1,a2,a3,a4,a6] |
Generators |
[26975:2190648:1] |
Generators of the group modulo torsion |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
6.3711310844313 |
L(r)(E,1)/r! |
Ω |
0.040356711492377 |
Real period |
R |
0.21685497563548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698f1 4554o1 |
Quadratic twists by: -3 -11 |