Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328o |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-166817919419136 = -1 · 28 · 36 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 1 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20697,1296819] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1083:1] |
Generators of the group modulo torsion |
j |
-81415168/13851 |
j-invariant |
L |
5.6236260854223 |
L(r)(E,1)/r! |
Ω |
0.5519399192447 |
Real period |
R |
0.42453489118872 |
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 |
8664k1 69312cv1 51984z1 912a1 |
Quadratic twists by: -4 8 -3 -19 |