Cremona's table of elliptic curves

Curve 14784ca1

14784 = 26 · 3 · 7 · 11



Data for elliptic curve 14784ca1

Field Data Notes
Atkin-Lehner 2- 3+ 7- 11- Signs for the Atkin-Lehner involutions
Class 14784ca Isogeny class
Conductor 14784 Conductor
∏ cp 5 Product of Tamagawa factors cp
deg 11520 Modular degree for the optimal curve
Δ -31169166336 = -1 · 210 · 33 · 7 · 115 Discriminant
Eigenvalues 2- 3+  1 7- 11-  1  6  1 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,55,-8511] [a1,a2,a3,a4,a6]
j 17643776/30438639 j-invariant
L 2.7245198851646 L(r)(E,1)/r!
Ω 0.54490397703292 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 14784v1 3696y1 44352ef1 103488ii1 Quadratic twists by: -4 8 -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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