Cremona's table of elliptic curves

Curve 106560ed3

106560 = 26 · 32 · 5 · 37



Data for elliptic curve 106560ed3

Field Data Notes
Atkin-Lehner 2- 3- 5+ 37+ Signs for the Atkin-Lehner involutions
Class 106560ed Isogeny class
Conductor 106560 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 2686183084523520 = 217 · 37 · 5 · 374 Discriminant
Eigenvalues 2- 3- 5+  0  0  2  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-39468,1700048] [a1,a2,a3,a4,a6]
Generators [4719:10135:27] Generators of the group modulo torsion
j 71157653138/28112415 j-invariant
L 6.2965315979838 L(r)(E,1)/r!
Ω 0.4135210020335 Real period
R 7.6133153553511 Regulator
r 1 Rank of the group of rational points
S 1.0000000014135 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 106560ba3 26640n3 35520bx3 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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