Atkin-Lehner |
2- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288u |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-15242100736 = -1 · 223 · 23 · 79 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 0 -6 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,5919] |
[a1,a2,a3,a4,a6] |
Generators |
[23:128:1] |
Generators of the group modulo torsion |
j |
-389017/58144 |
j-invariant |
L |
2.7792969184707 |
L(r)(E,1)/r! |
Ω |
1.0184804712697 |
Real period |
R |
0.68221655649781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999985101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288n1 29072i1 |
Quadratic twists by: -4 8 |