Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ch |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15540058759680 = 29 · 34 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56960,-5248020] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:54:1] |
Generators of the group modulo torsion |
j |
39918233807262728/30351677265 |
j-invariant |
L |
6.893943983775 |
L(r)(E,1)/r! |
Ω |
0.30904821997972 |
Real period |
R |
2.7883771601361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bs4 87360dz4 |
Quadratic twists by: -4 8 |