Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166i |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-3872276413415424 = -1 · 219 · 37 · 72 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 4 -3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48825,-5107091] |
[a1,a2,a3,a4,a6] |
j |
-17657448289261201/5311764627456 |
j-invariant |
L |
1.2651190131982 |
L(r)(E,1)/r! |
Ω |
0.15813987664978 |
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 |
41328bz1 1722k1 129150df1 36162bd1 |
Quadratic twists by: -4 -3 5 -7 |