Cremona's table of elliptic curves

Curve 112710by2

112710 = 2 · 3 · 5 · 13 · 172



Data for elliptic curve 112710by2

Field Data Notes
Atkin-Lehner 2- 3+ 5+ 13- 17+ Signs for the Atkin-Lehner involutions
Class 112710by Isogeny class
Conductor 112710 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -389201718750000 = -1 · 24 · 3 · 510 · 132 · 173 Discriminant
Eigenvalues 2- 3+ 5+ -2  4 13- 17+ -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-10036,-1029211] [a1,a2,a3,a4,a6]
Generators [133:37:1] Generators of the group modulo torsion
j -22754202068753/79218750000 j-invariant
L 8.1376864829561 L(r)(E,1)/r!
Ω 0.21901811833212 Real period
R 4.6444139837553 Regulator
r 1 Rank of the group of rational points
S 0.9999999989108 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 112710dd2 Quadratic twists by: 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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