Atkin-Lehner |
2+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240b |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-1239551063398400 = -1 · 211 · 52 · 177 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 0 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214080,38234272] |
[a1,a2,a3,a4,a6] |
j |
-529814788900007042/605249542675 |
j-invariant |
L |
1.9332805568444 |
L(r)(E,1)/r! |
Ω |
0.48332014644335 |
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 |
40120d1 |
Quadratic twists by: -4 |