Cremona's table of elliptic curves

Curve 22743n5

22743 = 32 · 7 · 192



Data for elliptic curve 22743n5

Field Data Notes
Atkin-Lehner 3- 7+ 19- Signs for the Atkin-Lehner involutions
Class 22743n Isogeny class
Conductor 22743 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -593136580192447347 = -1 · 37 · 78 · 196 Discriminant
Eigenvalues -1 3-  2 7+ -4  2  6 19- Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-110534,-39634320] [a1,a2,a3,a4,a6]
Generators [4030:43467:8] Generators of the group modulo torsion
j -4354703137/17294403 j-invariant
L 3.53176315208 L(r)(E,1)/r!
Ω 0.11950339024151 Real period
R 3.6942081150819 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 7581b6 63a6 Quadratic twists by: -3 -19


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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