Atkin-Lehner |
2+ 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
28440c |
Isogeny class |
Conductor |
28440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-9951724800000 = -1 · 211 · 39 · 55 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31347,-2141586] |
[a1,a2,a3,a4,a6] |
j |
-84506559174/246875 |
j-invariant |
L |
1.7936784042769 |
L(r)(E,1)/r! |
Ω |
0.17936784042776 |
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 |
56880f1 28440g1 |
Quadratic twists by: -4 -3 |