Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013n |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1530966437 = 77 · 11 · 132 |
Discriminant |
Eigenvalues |
-2 0 -4 7- 11+ 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-377,2096] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:59:1] [3:31:1] |
Generators of the group modulo torsion |
j |
35063967744/9058973 |
j-invariant |
L |
2.8334229724713 |
L(r)(E,1)/r! |
Ω |
1.410469097313 |
Real period |
R |
0.28697878679094 |
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 |
117117bw1 91091h1 13013d1 |
Quadratic twists by: -3 -7 13 |