Atkin-Lehner |
2+ 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370n |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-26263797969715200 = -1 · 220 · 310 · 52 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51885,-6345675] |
[a1,a2,a3,a4,a6] |
j |
21189316047402959/36027157708800 |
j-invariant |
L |
1.581776512618 |
L(r)(E,1)/r! |
Ω |
0.19772205750376 |
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 |
26790y1 |
Quadratic twists by: -3 |