Atkin-Lehner |
2+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31096c |
Isogeny class |
Conductor |
31096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-12935936 = -1 · 28 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 0 -3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,181] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [-3:14:1] |
Generators of the group modulo torsion |
j |
-1024/23 |
j-invariant |
L |
5.8131270070132 |
L(r)(E,1)/r! |
Ω |
1.8831105358264 |
Real period |
R |
0.3858726623064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62192g1 31096g1 |
Quadratic twists by: -4 13 |