Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320t |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-5574225600 = -1 · 26 · 310 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-326,4140] |
[a1,a2,a3,a4,a6] |
Generators |
[4:54:1] |
Generators of the group modulo torsion |
j |
-60052079296/87097275 |
j-invariant |
L |
6.109198181306 |
L(r)(E,1)/r! |
Ω |
1.2173966558106 |
Real period |
R |
0.50182478752075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28320f1 56640n2 84960q1 |
Quadratic twists by: -4 8 -3 |