Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800x |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-5.559960326067E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14563800,24214437000] |
[a1,a2,a3,a4,a6] |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
2.1537803834335 |
L(r)(E,1)/r! |
Ω |
0.1076890257283 |
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 |
100800it1 12600e1 100800u1 20160o1 |
Quadratic twists by: -4 8 -3 5 |