Cremona's table of elliptic curves

Curve 20328m2

20328 = 23 · 3 · 7 · 112



Data for elliptic curve 20328m2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 11- Signs for the Atkin-Lehner involutions
Class 20328m Isogeny class
Conductor 20328 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 17641989707215104 = 28 · 38 · 72 · 118 Discriminant
Eigenvalues 2+ 3- -2 7- 11-  2 -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-252204,-48413664] [a1,a2,a3,a4,a6]
j 3911877700432/38900169 j-invariant
L 1.7053446881144 L(r)(E,1)/r!
Ω 0.2131680860143 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 40656l2 60984cg2 1848j2 Quadratic twists by: -4 -3 -11


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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