Atkin-Lehner |
3- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263r |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
65856 |
Modular degree for the optimal curve |
Δ |
-79652727 = -1 · 37 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1658,25851] |
[a1,a2,a3,a4,a6] |
Generators |
[25:1:1] [-3:177:1] |
Generators of the group modulo torsion |
j |
-4165894731625/658287 |
j-invariant |
L |
8.9125800321578 |
L(r)(E,1)/r! |
Ω |
1.8647838851176 |
Real period |
R |
0.68277387478159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263t1 |
Quadratic twists by: -11 |