Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475p |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
21578317578125 = 58 · 73 · 115 |
Discriminant |
Eigenvalues |
0 0 5- 7- 11- -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8750,222031] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:514:1] [25:137:1] |
Generators of the group modulo torsion |
j |
552960000/161051 |
j-invariant |
L |
5.5149384129463 |
L(r)(E,1)/r! |
Ω |
0.63187328155352 |
Real period |
R |
0.29093061187775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fm1 13475f1 13475o1 |
Quadratic twists by: -3 5 -7 |