Atkin-Lehner |
2- 3+ 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980g |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-723502990080 = -1 · 28 · 39 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 3 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1512,-46764] |
[a1,a2,a3,a4,a6] |
j |
-75866112/143585 |
j-invariant |
L |
1.4417431225332 |
L(r)(E,1)/r! |
Ω |
0.36043584621737 |
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 |
109980b1 |
Quadratic twists by: -3 |