Atkin-Lehner |
2+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306k |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-1.0120802759E+19 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 11- 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,419504,111796254] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:7029:1] |
Generators of the group modulo torsion |
j |
4608689059523375/5712929308672 |
j-invariant |
L |
2.6179032351807 |
L(r)(E,1)/r! |
Ω |
0.15349966323272 |
Real period |
R |
4.2636953815809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986e1 |
Quadratic twists by: -11 |