Cremona's table of elliptic curves

Curve 47685q4

47685 = 3 · 5 · 11 · 172



Data for elliptic curve 47685q4

Field Data Notes
Atkin-Lehner 3- 5- 11- 17+ Signs for the Atkin-Lehner involutions
Class 47685q Isogeny class
Conductor 47685 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 47605697609765625 = 33 · 58 · 11 · 177 Discriminant
Eigenvalues -1 3- 5-  0 11-  6 17+  0 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-7785955,-8362753648] [a1,a2,a3,a4,a6]
j 2162548495235945809/1972265625 j-invariant
L 2.1691163484608 L(r)(E,1)/r!
Ω 0.090379847837278 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2805a3 Quadratic twists by: 17


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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