Atkin-Lehner |
3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915p |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-128721181640625 = -1 · 38 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10337,681986] |
[a1,a2,a3,a4,a6] |
Generators |
[6:784:1] |
Generators of the group modulo torsion |
j |
-167548422911689/176572265625 |
j-invariant |
L |
2.5266193293876 |
L(r)(E,1)/r! |
Ω |
0.53254145439523 |
Real period |
R |
0.23722278411705 |
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 |
4305f2 64575ba2 90405z2 |
Quadratic twists by: -3 5 -7 |