Atkin-Lehner |
2+ 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370i |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
720896 |
Modular degree for the optimal curve |
Δ |
-65780446625464320 = -1 · 216 · 314 · 5 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22860,12416976] |
[a1,a2,a3,a4,a6] |
j |
-1812322775712961/90233808814080 |
j-invariant |
L |
1.1552466994497 |
L(r)(E,1)/r! |
Ω |
0.28881166190437 |
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 |
26790x1 |
Quadratic twists by: -3 |