Atkin-Lehner |
2- 3+ 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118m |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
148320 |
Modular degree for the optimal curve |
Δ |
-98724318 = -1 · 2 · 3 · 75 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-218218,39145013] |
[a1,a2,a3,a4,a6] |
Generators |
[17236:-8601:64] |
Generators of the group modulo torsion |
j |
-1149199821241342494625/98724318 |
j-invariant |
L |
7.2456166697118 |
L(r)(E,1)/r! |
Ω |
1.057680324251 |
Real period |
R |
1.3700957659098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354bb1 |
Quadratic twists by: -3 |