Atkin-Lehner |
3- 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025bm |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-32593394925 = -1 · 33 · 52 · 75 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1033,-15538] |
[a1,a2,a3,a4,a6] |
Generators |
[101:905:1] |
Generators of the group modulo torsion |
j |
-4876530491065/1303735797 |
j-invariant |
L |
5.4881011699586 |
L(r)(E,1)/r! |
Ω |
0.41526284289023 |
Real period |
R |
0.44053232543313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025q1 |
Quadratic twists by: 5 |