Atkin-Lehner |
2- 3- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bo |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-316384542000 = -1 · 24 · 311 · 53 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,-27169] |
[a1,a2,a3,a4,a6] |
j |
-11867954041/433998000 |
j-invariant |
L |
3.3732220182933 |
L(r)(E,1)/r! |
Ω |
0.42165275141119 |
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 |
26790j1 |
Quadratic twists by: -3 |