Atkin-Lehner |
2+ 3- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370w |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
-36193783313203200 = -1 · 217 · 36 · 52 · 193 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 -7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81639,-12801155] |
[a1,a2,a3,a4,a6] |
j |
-82545272445122929/49648536780800 |
j-invariant |
L |
1.6493003184227 |
L(r)(E,1)/r! |
Ω |
0.13744168891509 |
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 |
8930k1 |
Quadratic twists by: -3 |