Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915g |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1046115 = -1 · 36 · 5 · 7 · 41 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 4 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,49] |
[a1,a2,a3,a4,a6] |
j |
-4096/1435 |
j-invariant |
L |
4.4954306335411 |
L(r)(E,1)/r! |
Ω |
2.2477153167705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1435b1 64575bh1 90405bz1 |
Quadratic twists by: -3 5 -7 |