Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bi |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
673838530560 = 219 · 32 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30945,-2105217] |
[a1,a2,a3,a4,a6] |
j |
12501706118329/2570490 |
j-invariant |
L |
2.8796924571025 |
L(r)(E,1)/r! |
Ω |
0.35996155713782 |
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 |
12480ce3 390a3 37440bl4 62400b4 |
Quadratic twists by: -4 8 -3 5 |