Cremona's table of elliptic curves

Curve 116178a3

116178 = 2 · 3 · 172 · 67



Data for elliptic curve 116178a3

Field Data Notes
Atkin-Lehner 2+ 3+ 17+ 67+ Signs for the Atkin-Lehner involutions
Class 116178a Isogeny class
Conductor 116178 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -5836788882778188 = -1 · 22 · 3 · 176 · 674 Discriminant
Eigenvalues 2+ 3+ -2  0 -4 -2 17+ -4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-8531,3684681] [a1,a2,a3,a4,a6]
Generators [-101:1929:1] Generators of the group modulo torsion
j -2845178713/241813452 j-invariant
L 1.9278427695316 L(r)(E,1)/r!
Ω 0.35100918632231 Real period
R 2.746142853518 Regulator
r 1 Rank of the group of rational points
S 1.000000016835 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 402b4 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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