Cremona's table of elliptic curves

Curve 101568dg2

101568 = 26 · 3 · 232



Data for elliptic curve 101568dg2

Field Data Notes
Atkin-Lehner 2- 3- 23- Signs for the Atkin-Lehner involutions
Class 101568dg Isogeny class
Conductor 101568 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ 2217105531954266112 = 220 · 33 · 238 Discriminant
Eigenvalues 2- 3-  0  2  0 -2  0 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-19484833,33098394335] [a1,a2,a3,a4,a6]
j 21081759765625/57132 j-invariant
L 2.7072141345921 L(r)(E,1)/r!
Ω 0.22560118939853 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 101568e2 25392w2 4416z2 Quadratic twists by: -4 8 -23


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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