Cremona's table of elliptic curves

Curve 6909d4

6909 = 3 · 72 · 47



Data for elliptic curve 6909d4

Field Data Notes
Atkin-Lehner 3+ 7- 47- Signs for the Atkin-Lehner involutions
Class 6909d Isogeny class
Conductor 6909 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 1722268769907 = 3 · 76 · 474 Discriminant
Eigenvalues -1 3+ -2 7-  4  2 -2  0 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-3039,-14358] [a1,a2,a3,a4,a6]
Generators [-49:165:1] Generators of the group modulo torsion
j 26383748833/14639043 j-invariant
L 1.9053402383287 L(r)(E,1)/r!
Ω 0.68916476066874 Real period
R 1.3823546610826 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 110544ds3 20727k3 141c3 Quadratic twists by: -4 -3 -7


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