Atkin-Lehner |
2- 3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650cu |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
1138176 |
Modular degree for the optimal curve |
Δ |
-5797941120000000 = -1 · 213 · 36 · 57 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -6 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45688,5244992] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:1952:1] [-208:2504:1] |
Generators of the group modulo torsion |
j |
-675010800306361/371068231680 |
j-invariant |
L |
18.068812021688 |
L(r)(E,1)/r! |
Ω |
0.39622749631413 |
Real period |
R |
0.073080313186589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930h1 |
Quadratic twists by: 5 |