Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480dh |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2396160000 = 215 · 32 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5025,135423] |
[a1,a2,a3,a4,a6] |
Generators |
[42:15:1] |
Generators of the group modulo torsion |
j |
428320044872/73125 |
j-invariant |
L |
5.600201625559 |
L(r)(E,1)/r! |
Ω |
1.4063270362078 |
Real period |
R |
1.991073726585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480ci3 6240b3 37440es4 62400ek4 |
Quadratic twists by: -4 8 -3 5 |