Cremona's table of elliptic curves

Curve 16245d1

16245 = 32 · 5 · 192



Data for elliptic curve 16245d1

Field Data Notes
Atkin-Lehner 3- 5+ 19- Signs for the Atkin-Lehner involutions
Class 16245d Isogeny class
Conductor 16245 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 13824 Modular degree for the optimal curve
Δ -514446708735 = -1 · 37 · 5 · 196 Discriminant
Eigenvalues -1 3- 5+  0  4  2 -2 19- Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-68,34526] [a1,a2,a3,a4,a6]
Generators [-14:187:1] Generators of the group modulo torsion
j -1/15 j-invariant
L 3.0506545649073 L(r)(E,1)/r!
Ω 0.74205761958931 Real period
R 1.0277687622814 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 5415k1 81225z1 45a1 Quadratic twists by: -3 5 -19


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

Part of Computational Number Theory
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