Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118o |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
1126400 |
Modular degree for the optimal curve |
Δ |
-1860098230041182208 = -1 · 220 · 34 · 75 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-340549,100639307] |
[a1,a2,a3,a4,a6] |
Generators |
[711:14428:1] [-521:11964:1] |
Generators of the group modulo torsion |
j |
-4367798751873864128977/1860098230041182208 |
j-invariant |
L |
10.459657060637 |
L(r)(E,1)/r! |
Ω |
0.24700562756372 |
Real period |
R |
0.21172912463177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354w1 |
Quadratic twists by: -3 |