Atkin-Lehner |
3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325m |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
7706801953125 = 35 · 58 · 113 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- -1 11- 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6075,121500] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:570:1] |
Generators of the group modulo torsion |
j |
63491300185/19729413 |
j-invariant |
L |
5.5670025296811 |
L(r)(E,1)/r! |
Ω |
0.68570166114216 |
Real period |
R |
0.90207720308728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325w1 |
Quadratic twists by: 5 |