Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915f |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1094356593225 = 312 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7313,-233544] |
[a1,a2,a3,a4,a6] |
j |
59323563117001/1501175025 |
j-invariant |
L |
1.034142785262 |
L(r)(E,1)/r! |
Ω |
0.51707139263101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4305d2 64575z2 90405bv2 |
Quadratic twists by: -3 5 -7 |