Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bs |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18835426400400 = 24 · 310 · 52 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8303,205031] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:556:1] |
Generators of the group modulo torsion |
j |
86826493040041/25837347600 |
j-invariant |
L |
9.5674790698201 |
L(r)(E,1)/r! |
Ω |
0.6382345351325 |
Real period |
R |
1.8738172534019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000663 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26790l2 |
Quadratic twists by: -3 |