Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13130j |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
-32055664062500 = -1 · 22 · 514 · 13 · 101 |
Discriminant |
Eigenvalues |
2- -3 5- 0 0 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4443,-248511] |
[a1,a2,a3,a4,a6] |
Generators |
[47:226:1] |
Generators of the group modulo torsion |
j |
9701620615116639/32055664062500 |
j-invariant |
L |
4.5506145684783 |
L(r)(E,1)/r! |
Ω |
0.33573550249301 |
Real period |
R |
0.48407733965404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105040w1 118170e1 65650j1 |
Quadratic twists by: -4 -3 5 |