Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12546n |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-6172424500802688 = -1 · 27 · 310 · 172 · 414 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42080,5043075] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:2825:1] |
Generators of the group modulo torsion |
j |
-11303519856765625/8466974623872 |
j-invariant |
L |
6.5971761279843 |
L(r)(E,1)/r! |
Ω |
0.39013887258824 |
Real period |
R |
0.30196098068773 |
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 |
100368bv2 4182a2 |
Quadratic twists by: -4 -3 |