Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100k |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-427856324218750000 = -1 · 24 · 512 · 78 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-349533,-85655312] |
[a1,a2,a3,a4,a6] |
Generators |
[939170804:-76449340625:140608] |
Generators of the group modulo torsion |
j |
-160568836096/14546875 |
j-invariant |
L |
3.835434968066 |
L(r)(E,1)/r! |
Ω |
0.097670064719605 |
Real period |
R |
9.8173247254697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18620e1 13300g1 |
Quadratic twists by: 5 -7 |