Cremona's table of elliptic curves

Curve 110110d1

110110 = 2 · 5 · 7 · 112 · 13



Data for elliptic curve 110110d1

Field Data Notes
Atkin-Lehner 2+ 5+ 7+ 11+ 13+ Signs for the Atkin-Lehner involutions
Class 110110d Isogeny class
Conductor 110110 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 435456 Modular degree for the optimal curve
Δ -641921920640 = -1 · 27 · 5 · 73 · 113 · 133 Discriminant
Eigenvalues 2+  3 5+ 7+ 11+ 13+  8 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-9070,336980] [a1,a2,a3,a4,a6]
Generators [1137:3980:27] Generators of the group modulo torsion
j -62000394301539/482285440 j-invariant
L 8.8997782736076 L(r)(E,1)/r!
Ω 0.9159794539141 Real period
R 4.8580665259313 Regulator
r 1 Rank of the group of rational points
S 1.0000000029895 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 110110cc1 Quadratic twists by: -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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