Cremona's table of elliptic curves

Curve 6909j2

6909 = 3 · 72 · 47



Data for elliptic curve 6909j2

Field Data Notes
Atkin-Lehner 3- 7- 47+ Signs for the Atkin-Lehner involutions
Class 6909j Isogeny class
Conductor 6909 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 1031490078129 = 34 · 78 · 472 Discriminant
Eigenvalues -1 3- -2 7-  0 -2 -2  4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-3284,53199] [a1,a2,a3,a4,a6]
Generators [-29:367:1] Generators of the group modulo torsion
j 33293019313/8767521 j-invariant
L 2.6061163608756 L(r)(E,1)/r!
Ω 0.81884378144598 Real period
R 1.5913391662287 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 110544cp2 20727p2 987b2 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
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