Atkin-Lehner |
3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915q |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-64086589764225 = -1 · 312 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6714,-437855] |
[a1,a2,a3,a4,a6] |
j |
-45917324980129/87910274025 |
j-invariant |
L |
2.9782695653984 |
L(r)(E,1)/r! |
Ω |
0.24818913044986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305c2 64575i2 90405x2 |
Quadratic twists by: -3 5 -7 |