Cremona's table of elliptic curves

Curve 47658r4

47658 = 2 · 3 · 132 · 47



Data for elliptic curve 47658r4

Field Data Notes
Atkin-Lehner 2- 3+ 13+ 47+ Signs for the Atkin-Lehner involutions
Class 47658r Isogeny class
Conductor 47658 Conductor
∏ cp 12 Product of Tamagawa factors cp
Δ 155504378805672 = 23 · 3 · 1310 · 47 Discriminant
Eigenvalues 2- 3+ -2  0  0 13+ -6  4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-1017299,-395354263] [a1,a2,a3,a4,a6]
j 24121786971872953/32216808 j-invariant
L 1.8039258372365 L(r)(E,1)/r!
Ω 0.15032715310051 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 3666a3 Quadratic twists by: 13


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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