Cremona's table of elliptic curves

Curve 28600b1

28600 = 23 · 52 · 11 · 13



Data for elliptic curve 28600b1

Field Data Notes
Atkin-Lehner 2+ 5+ 11+ 13+ Signs for the Atkin-Lehner involutions
Class 28600b Isogeny class
Conductor 28600 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 46080 Modular degree for the optimal curve
Δ -35990240000000 = -1 · 211 · 57 · 113 · 132 Discriminant
Eigenvalues 2+  1 5+  3 11+ 13+ -3  1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-4408,-311312] [a1,a2,a3,a4,a6]
Generators [954:7475:8] Generators of the group modulo torsion
j -296071778/1124695 j-invariant
L 6.907742202927 L(r)(E,1)/r!
Ω 0.2679657163123 Real period
R 3.222306895258 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 57200i1 5720e1 Quadratic twists by: -4 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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