Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328v |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
1.0365704691724E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033272,-1002007952] |
[a1,a2,a3,a4,a6] |
Generators |
[-40248818898822:-301519895554862:41314084993] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
4.9977989859694 |
L(r)(E,1)/r! |
Ω |
0.12734626333861 |
Real period |
R |
19.622872532508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166d1 69312do1 51984ct1 912k1 |
Quadratic twists by: -4 8 -3 -19 |