Atkin-Lehner |
2+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109174g |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-539609134864384 = -1 · 211 · 138 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 3 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20276,120330] |
[a1,a2,a3,a4,a6] |
Generators |
[440:9489:1] |
Generators of the group modulo torsion |
j |
1130197991/661504 |
j-invariant |
L |
1.9679864708113 |
L(r)(E,1)/r! |
Ω |
0.31486237745998 |
Real period |
R |
6.250306854203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999737934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109174n1 |
Quadratic twists by: 13 |