Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bs |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-20596875000000 = -1 · 26 · 3 · 511 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23491,-1395095] |
[a1,a2,a3,a4,a6] |
Generators |
[5616:420667:1] |
Generators of the group modulo torsion |
j |
-22400965661211136/321826171875 |
j-invariant |
L |
4.0104288298462 |
L(r)(E,1)/r! |
Ω |
0.19265116525218 |
Real period |
R |
6.9390164767437 |
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 |
12480cq1 6240bd1 37440fn1 62400gf1 |
Quadratic twists by: -4 8 -3 5 |