Cremona's table of elliptic curves

Curve 10560w1

10560 = 26 · 3 · 5 · 11



Data for elliptic curve 10560w1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 11- Signs for the Atkin-Lehner involutions
Class 10560w Isogeny class
Conductor 10560 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 1024 Modular degree for the optimal curve
Δ 116160 = 26 · 3 · 5 · 112 Discriminant
Eigenvalues 2+ 3- 5+ -4 11-  0 -2 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-16,14] [a1,a2,a3,a4,a6]
Generators [26:21:8] Generators of the group modulo torsion
j 7529536/1815 j-invariant
L 4.41363453795 L(r)(E,1)/r!
Ω 3.1208717903785 Real period
R 2.8284625799477 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 10560b1 5280m2 31680bm1 52800bh1 Quadratic twists by: -4 8 -3 5


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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