Cremona's table of elliptic curves

Curve 22848r2

22848 = 26 · 3 · 7 · 17



Data for elliptic curve 22848r2

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 17- Signs for the Atkin-Lehner involutions
Class 22848r Isogeny class
Conductor 22848 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 2088124416 = 214 · 32 · 72 · 172 Discriminant
Eigenvalues 2+ 3+  2 7-  4 -6 17-  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-497,3825] [a1,a2,a3,a4,a6]
Generators [-8:85:1] Generators of the group modulo torsion
j 830321872/127449 j-invariant
L 5.4027382749202 L(r)(E,1)/r!
Ω 1.4068813469791 Real period
R 1.9201115596995 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 22848co2 2856c2 68544cc2 Quadratic twists by: -4 8 -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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