Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560g |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-303280524760590000 = -1 · 24 · 37 · 54 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9942,26493257] |
[a1,a2,a3,a4,a6] |
Generators |
[181:5850:1] |
Generators of the group modulo torsion |
j |
9317458724864/26001416731875 |
j-invariant |
L |
4.9607605389421 |
L(r)(E,1)/r! |
Ω |
0.24083589692173 |
Real period |
R |
1.2873809003106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520s1 |
Quadratic twists by: -3 |