Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
116064g |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-22732062912 = -1 · 26 · 37 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1173,-17080] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1170:1] |
Generators of the group modulo torsion |
j |
-3825694144/487227 |
j-invariant |
L |
10.324955043538 |
L(r)(E,1)/r! |
Ω |
0.40500985102858 |
Real period |
R |
3.1866370079101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116064k1 38688d1 |
Quadratic twists by: -4 -3 |