Cremona's table of elliptic curves

Curve 33672f2

33672 = 23 · 3 · 23 · 61



Data for elliptic curve 33672f2

Field Data Notes
Atkin-Lehner 2- 3+ 23- 61- Signs for the Atkin-Lehner involutions
Class 33672f Isogeny class
Conductor 33672 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 18140857344 = 210 · 32 · 232 · 612 Discriminant
Eigenvalues 2- 3+ -2  0 -4  6  2  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-11224,461404] [a1,a2,a3,a4,a6]
j 152723343168868/17715681 j-invariant
L 1.1788991829414 L(r)(E,1)/r!
Ω 1.1788991829494 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 67344g2 101016d2 Quadratic twists by: -4 -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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