Cremona's table of elliptic curves

Curve 16965j1

16965 = 32 · 5 · 13 · 29



Data for elliptic curve 16965j1

Field Data Notes
Atkin-Lehner 3- 5+ 13- 29+ Signs for the Atkin-Lehner involutions
Class 16965j Isogeny class
Conductor 16965 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 13824 Modular degree for the optimal curve
Δ -12058297875 = -1 · 39 · 53 · 132 · 29 Discriminant
Eigenvalues  2 3- 5+  0  3 13-  2 -6 Hecke eigenvalues for primes up to 20
Equation [0,0,1,-3,5283] [a1,a2,a3,a4,a6]
Generators [34:581:8] Generators of the group modulo torsion
j -4096/16540875 j-invariant
L 9.4225167134235 L(r)(E,1)/r!
Ω 1.0089791451362 Real period
R 2.334665874623 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 5655i1 84825o1 Quadratic twists by: -3 5


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations