Atkin-Lehner |
3- 7- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987l |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
-6408954657 = -1 · 36 · 73 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3- 2 7- 5 -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26136,-1619811] |
[a1,a2,a3,a4,a6] |
j |
-2708462924931457/8791433 |
j-invariant |
L |
4.5057817476693 |
L(r)(E,1)/r! |
Ω |
0.18774090851066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9443c1 |
Quadratic twists by: -3 |