Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960h |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-244066549760000000 = -1 · 229 · 57 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408001,102950815] |
[a1,a2,a3,a4,a6] |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
2.4865476274933 |
L(r)(E,1)/r! |
Ω |
0.31081845689025 |
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 |
80960bl1 2530k1 |
Quadratic twists by: -4 8 |