Cremona's table of elliptic curves

Curve 116160n1

116160 = 26 · 3 · 5 · 112



Data for elliptic curve 116160n1

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 11- Signs for the Atkin-Lehner involutions
Class 116160n Isogeny class
Conductor 116160 Conductor
∏ cp 1 Product of Tamagawa factors cp
deg 161280 Modular degree for the optimal curve
Δ -846806400000 = -1 · 210 · 37 · 55 · 112 Discriminant
Eigenvalues 2+ 3+ 5+  0 11- -2  1  8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,279,44145] [a1,a2,a3,a4,a6]
j 19314944/6834375 j-invariant
L 0.69110714772769 L(r)(E,1)/r!
Ω 0.69110744208174 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 116160ho1 7260s1 116160k1 Quadratic twists by: -4 8 -11


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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