Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240g |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
406272 |
Modular degree for the optimal curve |
Δ |
-861570439577600 = -1 · 235 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 4 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5456,1418900] |
[a1,a2,a3,a4,a6] |
j |
-4385977971409/210344345600 |
j-invariant |
L |
3.3176555278335 |
L(r)(E,1)/r! |
Ω |
0.41470693623575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030i1 |
Quadratic twists by: -4 |