Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032y |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-130818000343744 = -1 · 26 · 79 · 373 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -3 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8918,638666] |
[a1,a2,a3,a4,a6] |
Generators |
[98:5831:8] |
Generators of the group modulo torsion |
j |
-30371328/50653 |
j-invariant |
L |
3.4857616729159 |
L(r)(E,1)/r! |
Ω |
0.52393540958825 |
Real period |
R |
3.3265185228814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999522009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032x1 58016l1 116032w1 |
Quadratic twists by: -4 8 -7 |