Atkin-Lehner |
2+ 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174f |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
547890857903168 = 26 · 136 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25861,1135344] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1663:1] [-38:1455:1] |
Generators of the group modulo torsion |
j |
396255588625/113509952 |
j-invariant |
L |
5.8576750508791 |
L(r)(E,1)/r! |
Ω |
0.48306572240113 |
Real period |
R |
1.0105034673515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646e1 |
Quadratic twists by: 13 |