Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bh |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-611937180000 = -1 · 25 · 36 · 54 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2122,37] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2263:1] |
Generators of the group modulo torsion |
j |
1450187574759/839420000 |
j-invariant |
L |
10.044491318476 |
L(r)(E,1)/r! |
Ω |
0.54740848597314 |
Real period |
R |
0.91745849509707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930f1 |
Quadratic twists by: -3 |