Atkin-Lehner |
2- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
13390i |
Isogeny class |
Conductor |
13390 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
8976 |
Modular degree for the optimal curve |
Δ |
21938176000 = 217 · 53 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -1 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-700,-483] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:41:1] |
Generators of the group modulo torsion |
j |
37936442980801/21938176000 |
j-invariant |
L |
6.2391908572266 |
L(r)(E,1)/r! |
Ω |
1.0159610322795 |
Real period |
R |
0.12041512592015 |
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 |
107120r1 120510h1 66950b1 |
Quadratic twists by: -4 -3 5 |