Cremona's table of elliptic curves

Curve 1334c2

1334 = 2 · 23 · 29



Data for elliptic curve 1334c2

Field Data Notes
Atkin-Lehner 2+ 23- 29+ Signs for the Atkin-Lehner involutions
Class 1334c Isogeny class
Conductor 1334 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -216455966621696 = -1 · 224 · 232 · 293 Discriminant
Eigenvalues 2+  1 -3 -4 -3  5 -6  8 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-47945,-4106228] [a1,a2,a3,a4,a6]
j -12188230526616079753/216455966621696 j-invariant
L 0.64459532529239 L(r)(E,1)/r!
Ω 0.1611488313231 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 10672d2 42688k2 12006p2 33350k2 Quadratic twists by: -4 8 -3 5


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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