Atkin-Lehner |
2- 3+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bg |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
678912 |
Modular degree for the optimal curve |
Δ |
3842896822272000 = 226 · 33 · 53 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140747,20138971] |
[a1,a2,a3,a4,a6] |
Generators |
[251:634:1] |
Generators of the group modulo torsion |
j |
11420220657841455123/142329511936000 |
j-invariant |
L |
10.591079973217 |
L(r)(E,1)/r! |
Ω |
0.44297339107124 |
Real period |
R |
0.30652648504121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80370a1 |
Quadratic twists by: -3 |