Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150v |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-7.573727983492E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,852245,288946747] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:10746:1] |
Generators of the group modulo torsion |
j |
4381245101504748231/4847185909434880 |
j-invariant |
L |
9.594055682343 |
L(r)(E,1)/r! |
Ω |
0.12866916274352 |
Real period |
R |
0.41424307277559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030d1 |
Quadratic twists by: 5 |