Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480a |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6389760000 = 218 · 3 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8320001,-9234274815] |
[a1,a2,a3,a4,a6] |
Generators |
[60276772451:-7086609324068:4173281] |
Generators of the group modulo torsion |
j |
242970740812818720001/24375 |
j-invariant |
L |
3.4058133531174 |
L(r)(E,1)/r! |
Ω |
0.088893233851016 |
Real period |
R |
19.156763712891 |
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 |
12480cj7 195a7 37440ca8 62400cs8 |
Quadratic twists by: -4 8 -3 5 |