Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12915t |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
2965736025 = 310 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30497,2057496] |
[a1,a2,a3,a4,a6] |
Generators |
[96:39:1] |
Generators of the group modulo torsion |
j |
4302830045045449/4068225 |
j-invariant |
L |
3.0685511137295 |
L(r)(E,1)/r! |
Ω |
1.1947804592061 |
Real period |
R |
1.2841485187029 |
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 |
4305b1 64575q1 90405r1 |
Quadratic twists by: -3 5 -7 |