Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bw |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-3993600 = -1 · 212 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,-39] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
1560896/975 |
j-invariant |
L |
3.3259636908389 |
L(r)(E,1)/r! |
Ω |
1.425387278649 |
Real period |
R |
1.1666877278403 |
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 |
12480cs1 6240q1 37440fu1 62400gi1 |
Quadratic twists by: -4 8 -3 5 |