Cremona's table of elliptic curves

Curve 48048cn2

48048 = 24 · 3 · 7 · 11 · 13



Data for elliptic curve 48048cn2

Field Data Notes
Atkin-Lehner 2- 3- 7+ 11- 13- Signs for the Atkin-Lehner involutions
Class 48048cn Isogeny class
Conductor 48048 Conductor
∏ cp 256 Product of Tamagawa factors cp
Δ 107710522343424 = 214 · 38 · 72 · 112 · 132 Discriminant
Eigenvalues 2- 3- -2 7+ 11- 13-  6  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-12864,-261324] [a1,a2,a3,a4,a6]
Generators [-60:546:1] Generators of the group modulo torsion
j 57481172513857/26296514244 j-invariant
L 6.6388244538362 L(r)(E,1)/r!
Ω 0.46818642484994 Real period
R 0.88624211711698 Regulator
r 1 Rank of the group of rational points
S 1.0000000000008 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 6006w2 Quadratic twists by: -4


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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