Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
11850u |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1331205300000000 = -1 · 28 · 33 · 58 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2963,1755281] |
[a1,a2,a3,a4,a6] |
Generators |
[395:7702:1] |
Generators of the group modulo torsion |
j |
-184122897769/85197139200 |
j-invariant |
L |
6.416687214121 |
L(r)(E,1)/r! |
Ω |
0.39098458180813 |
Real period |
R |
0.34190858117552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800ck1 35550q1 2370d1 |
Quadratic twists by: -4 -3 5 |