Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200z |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
45278773200 = 24 · 313 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12703,-555232] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:27:8] |
Generators of the group modulo torsion |
j |
566782983485440/113196933 |
j-invariant |
L |
9.6647820038101 |
L(r)(E,1)/r! |
Ω |
0.44970253530825 |
Real period |
R |
1.6531923005841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600q1 85200t1 |
Quadratic twists by: -4 5 |