Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820t |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-889350000 = -1 · 24 · 3 · 55 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106,-1531] |
[a1,a2,a3,a4,a6] |
Generators |
[1479:10801:27] |
Generators of the group modulo torsion |
j |
-68679424/459375 |
j-invariant |
L |
7.1008489031928 |
L(r)(E,1)/r! |
Ω |
0.66123773388704 |
Real period |
R |
5.3693615316401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50820o1 |
Quadratic twists by: -11 |