Atkin-Lehner |
3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111033g |
Isogeny class |
Conductor |
111033 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
31646430757224153 = 312 · 138 · 73 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-377240,88864026] |
[a1,a2,a3,a4,a6] |
Generators |
[92:7365:1] |
Generators of the group modulo torsion |
j |
1687284042625/8993673 |
j-invariant |
L |
2.5320854562203 |
L(r)(E,1)/r! |
Ω |
0.37226867817507 |
Real period |
R |
3.4008843339219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37011a1 8541c1 |
Quadratic twists by: -3 13 |