Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774ba |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
3.175662762664E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 11- 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1137584,-380717039] |
[a1,a2,a3,a4,a6] |
Generators |
[-667:9381:1] |
Generators of the group modulo torsion |
j |
91900537277083417/17925788401664 |
j-invariant |
L |
10.613636107219 |
L(r)(E,1)/r! |
Ω |
0.14817143319203 |
Real period |
R |
3.255944782838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434f1 |
Quadratic twists by: -11 |