Atkin-Lehner |
2+ 3- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370x |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-3661606892237760 = -1 · 26 · 315 · 5 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2979,-2911275] |
[a1,a2,a3,a4,a6] |
j |
-4011342040369/5022780373440 |
j-invariant |
L |
1.601586761369 |
L(r)(E,1)/r! |
Ω |
0.20019833892954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790w1 |
Quadratic twists by: -3 |