Atkin-Lehner |
2- 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144x |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-9700463024 = -1 · 24 · 7 · 175 · 61 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 1 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2488,-48001] |
[a1,a2,a3,a4,a6] |
Generators |
[64230:1090873:216] |
Generators of the group modulo torsion |
j |
-106452253016064/606278939 |
j-invariant |
L |
12.002100860818 |
L(r)(E,1)/r! |
Ω |
0.33787735875066 |
Real period |
R |
7.1044125961689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036d1 |
Quadratic twists by: -4 |