Cremona's table of elliptic curves

Curve 41664r2

41664 = 26 · 3 · 7 · 31



Data for elliptic curve 41664r2

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 31+ Signs for the Atkin-Lehner involutions
Class 41664r Isogeny class
Conductor 41664 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -18516148224 = -1 · 217 · 3 · 72 · 312 Discriminant
Eigenvalues 2+ 3+  2 7-  0  2 -6 -6 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,223,-6495] [a1,a2,a3,a4,a6]
j 9314926/141267 j-invariant
L 2.394179316128 L(r)(E,1)/r!
Ω 0.59854482903006 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 41664dm2 5208f2 124992cr2 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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