Cremona's table of elliptic curves

Curve 107328by2

107328 = 26 · 3 · 13 · 43



Data for elliptic curve 107328by2

Field Data Notes
Atkin-Lehner 2- 3+ 13- 43+ Signs for the Atkin-Lehner involutions
Class 107328by Isogeny class
Conductor 107328 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -28398913241088 = -1 · 214 · 3 · 132 · 434 Discriminant
Eigenvalues 2- 3+ -4 -4  2 13-  2  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-31985,-2205999] [a1,a2,a3,a4,a6]
Generators [3266069:35428900:12167] Generators of the group modulo torsion
j -220880011370704/1733332107 j-invariant
L 3.6442567511649 L(r)(E,1)/r!
Ω 0.17841376671185 Real period
R 10.212936114549 Regulator
r 1 Rank of the group of rational points
S 0.99999998583974 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 107328bk2 26832i2 Quadratic twists by: -4 8


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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