Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202t |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
23063040 |
Modular degree for the optimal curve |
Δ |
-3.6317769948974E+23 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 0 13+ -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17819835,-1545242435] |
[a1,a2,a3,a4,a6] |
Generators |
[941925:176738368:27] |
Generators of the group modulo torsion |
j |
129650637464856156375/75241779711967232 |
j-invariant |
L |
18.941251256693 |
L(r)(E,1)/r! |
Ω |
0.056661642595832 |
Real period |
R |
1.8993580309314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554g1 |
Quadratic twists by: 13 |