Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850ce |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
726 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-2183466871756800 = -1 · 211 · 311 · 52 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-766423,258202217] |
[a1,a2,a3,a4,a6] |
Generators |
[1526:-52171:1] |
Generators of the group modulo torsion |
j |
-1991541343509695978905/87338674870272 |
j-invariant |
L |
9.0176695321226 |
L(r)(E,1)/r! |
Ω |
0.43508759134902 |
Real period |
R |
0.028548349022962 |
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 |
53550bq1 17850i1 124950ff1 |
Quadratic twists by: -3 5 -7 |