Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12915l |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-6979563161235 = -1 · 310 · 5 · 73 · 413 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-404778,99122859] |
[a1,a2,a3,a4,a6] |
j |
-10061132871167082496/9574160715 |
j-invariant |
L |
1.2515324418931 |
L(r)(E,1)/r! |
Ω |
0.62576622094656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4305l2 64575n2 90405bl2 |
Quadratic twists by: -3 5 -7 |