Cremona's table of elliptic curves

Curve 22344bd1

22344 = 23 · 3 · 72 · 19



Data for elliptic curve 22344bd1

Field Data Notes
Atkin-Lehner 2- 3- 7- 19+ Signs for the Atkin-Lehner involutions
Class 22344bd Isogeny class
Conductor 22344 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 31680 Modular degree for the optimal curve
Δ -1859223147264 = -1 · 28 · 32 · 76 · 193 Discriminant
Eigenvalues 2- 3- -1 7- -5  2  1 19+ Hecke eigenvalues for primes up to 20
Equation [0,1,0,2679,-37269] [a1,a2,a3,a4,a6]
j 70575104/61731 j-invariant
L 1.8357686644161 L(r)(E,1)/r!
Ω 0.45894216610403 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 44688k1 67032s1 456d1 Quadratic twists by: -4 -3 -7


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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