Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480cg |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-14040000000000 = -1 · 212 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7865,-320775] |
[a1,a2,a3,a4,a6] |
j |
-13137573612736/3427734375 |
j-invariant |
L |
2.5006211593199 |
L(r)(E,1)/r! |
Ω |
0.25006211593199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480df1 6240bc1 37440ei1 62400gl1 |
Quadratic twists by: -4 8 -3 5 |