Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12980c |
Isogeny class |
Conductor |
12980 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-72293408000 = -1 · 28 · 53 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-396,-13420] |
[a1,a2,a3,a4,a6] |
Generators |
[2143155:32534720:9261] |
Generators of the group modulo torsion |
j |
-26894628304/282396125 |
j-invariant |
L |
5.3867060505412 |
L(r)(E,1)/r! |
Ω |
0.46428396728099 |
Real period |
R |
11.602179765301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51920m2 116820q2 64900e2 |
Quadratic twists by: -4 -3 5 |