Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
14240i |
Isogeny class |
Conductor |
14240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-811110400 = -1 · 212 · 52 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:6560:27] |
Generators of the group modulo torsion |
j |
85184/198025 |
j-invariant |
L |
6.6933771306021 |
L(r)(E,1)/r! |
Ω |
0.73761048913706 |
Real period |
R |
4.5372030557976 |
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 |
14240j2 28480be1 128160bc2 71200q2 |
Quadratic twists by: -4 8 -3 5 |