Atkin-Lehner |
2- 3+ 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370z |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1442560 |
Modular degree for the optimal curve |
Δ |
-505644318720000000 = -1 · 228 · 33 · 57 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147008,-40474269] |
[a1,a2,a3,a4,a6] |
j |
-13013079587328084867/18727567360000000 |
j-invariant |
L |
6.4897442166027 |
L(r)(E,1)/r! |
Ω |
0.11588829054907 |
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 |
80370d1 |
Quadratic twists by: -3 |