Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ch |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-290198039040000 = -1 · 212 · 34 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15535,-335937] |
[a1,a2,a3,a4,a6] |
Generators |
[31:420:1] |
Generators of the group modulo torsion |
j |
101220756956864/70849130625 |
j-invariant |
L |
6.893943983775 |
L(r)(E,1)/r! |
Ω |
0.30904821997972 |
Real period |
R |
0.69709429003404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680bs2 87360dz1 |
Quadratic twists by: -4 8 |