Cremona's table of elliptic curves

Curve 18496g4

18496 = 26 · 172



Data for elliptic curve 18496g4

Field Data Notes
Atkin-Lehner 2+ 17+ Signs for the Atkin-Lehner involutions
Class 18496g Isogeny class
Conductor 18496 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 3.0546184751272E+20 Discriminant
Eigenvalues 2+ -2  0  4  6 -2 17+  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2090433,-804591713] [a1,a2,a3,a4,a6]
Generators [56059:13268640:1] Generators of the group modulo torsion
j 159661140625/48275138 j-invariant
L 4.4694383533757 L(r)(E,1)/r!
Ω 0.12849998328998 Real period
R 8.6954064875047 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 18496n4 578a4 1088c4 Quadratic twists by: -4 8 17


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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