Atkin-Lehner |
2+ 3- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546r |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-575250984 = -1 · 23 · 37 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,90,1084] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:151:8] [-1:32:1] |
Generators of the group modulo torsion |
j |
109902239/789096 |
j-invariant |
L |
7.9330014354113 |
L(r)(E,1)/r! |
Ω |
1.1901102177193 |
Real period |
R |
0.8332212971903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182l1 |
Quadratic twists by: -3 |