Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cu |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
Δ |
-4515586270650000000 = -1 · 27 · 310 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4812,102238992] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:9564:1] |
Generators of the group modulo torsion |
j |
788632918919/288997521321600 |
j-invariant |
L |
8.7532137227202 |
L(r)(E,1)/r! |
Ω |
0.19409260445865 |
Real period |
R |
0.10737650263504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200df2 40950bo2 2730g2 95550gn2 |
Quadratic twists by: -4 -3 5 -7 |