Atkin-Lehner |
3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
3417f |
Isogeny class |
Conductor |
3417 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
25792 |
Modular degree for the optimal curve |
Δ |
-121667571099 = -1 · 313 · 17 · 672 |
Discriminant |
Eigenvalues |
-2 3- -1 2 -3 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-495626,134135924] |
[a1,a2,a3,a4,a6] |
Generators |
[409:-101:1] |
Generators of the group modulo torsion |
j |
-13464394604399531782144/121667571099 |
j-invariant |
L |
2.1738673682813 |
L(r)(E,1)/r! |
Ω |
0.72823852691094 |
Real period |
R |
0.11481167269479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54672l1 10251l1 85425f1 58089d1 |
Quadratic twists by: -4 -3 5 17 |