Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680n |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-53836784762880 = -1 · 215 · 3 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8959,-137535] |
[a1,a2,a3,a4,a6] |
Generators |
[64:833:1] |
Generators of the group modulo torsion |
j |
2426631943672/1642968285 |
j-invariant |
L |
5.6186375839589 |
L(r)(E,1)/r! |
Ω |
0.35741655480563 |
Real period |
R |
1.9650172247006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bw3 63840bz2 |
Quadratic twists by: -4 8 |