Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480b |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5112889376499E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55844961,-160609351455] |
[a1,a2,a3,a4,a6] |
Generators |
[-1075079571920907:-259922128932864:249214435757] |
Generators of the group modulo torsion |
j |
73474353581350183614361/576510977802240 |
j-invariant |
L |
3.8342226684885 |
L(r)(E,1)/r! |
Ω |
0.055227293504047 |
Real period |
R |
17.356556990284 |
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 |
12480cm4 390d4 37440cd4 62400cy4 |
Quadratic twists by: -4 8 -3 5 |