Cremona's table of elliptic curves

Curve 5217b2

5217 = 3 · 37 · 47



Data for elliptic curve 5217b2

Field Data Notes
Atkin-Lehner 3- 37+ 47- Signs for the Atkin-Lehner involutions
Class 5217b Isogeny class
Conductor 5217 Conductor
∏ cp 40 Product of Tamagawa factors cp
Δ 390144943392851277 = 320 · 373 · 472 Discriminant
Eigenvalues  1 3-  0  0  4 -4  6 -6 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-212331,22677541] [a1,a2,a3,a4,a6]
Generators [53:3375:1] Generators of the group modulo torsion
j 1058670928315325139625/390144943392851277 j-invariant
L 5.4899344417949 L(r)(E,1)/r!
Ω 0.2746836320829 Real period
R 1.998639088964 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 83472j2 15651a2 Quadratic twists by: -4 -3


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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