Atkin-Lehner |
2- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
13390f |
Isogeny class |
Conductor |
13390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-3855853813760 = -1 · 218 · 5 · 134 · 103 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 2 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9408,366051] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:865:1] |
Generators of the group modulo torsion |
j |
-92081494739853009/3855853813760 |
j-invariant |
L |
3.2987747298202 |
L(r)(E,1)/r! |
Ω |
0.778194249372 |
Real period |
R |
0.058875166102706 |
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 |
107120n1 120510q1 66950k1 |
Quadratic twists by: -4 -3 5 |