Atkin-Lehner |
2- 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240q |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-100300000000 = -1 · 28 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 2 3 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4725,-124375] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2625:1] |
Generators of the group modulo torsion |
j |
-45580711100416/391796875 |
j-invariant |
L |
11.32869102379 |
L(r)(E,1)/r! |
Ω |
0.28776546470432 |
Real period |
R |
2.4604870137336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20060e1 |
Quadratic twists by: -4 |