Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080b |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
327413760000 = 215 · 3 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2561,42465] |
[a1,a2,a3,a4,a6] |
Generators |
[16:73:1] |
Generators of the group modulo torsion |
j |
56711623688/9991875 |
j-invariant |
L |
5.7728111927522 |
L(r)(E,1)/r! |
Ω |
0.91829260985389 |
Real period |
R |
1.5716153898748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080s2 35040h2 |
Quadratic twists by: -4 8 |