Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680c |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3042571896000000 = -1 · 29 · 38 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40216,4097416] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1134:1] |
Generators of the group modulo torsion |
j |
-14049509645755592/5942523234375 |
j-invariant |
L |
4.523778334504 |
L(r)(E,1)/r! |
Ω |
0.42169027505679 |
Real period |
R |
1.7879545731718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680m2 87360hc2 |
Quadratic twists by: -4 8 |