Cremona's table of elliptic curves

Curve 7719b2

7719 = 3 · 31 · 83



Data for elliptic curve 7719b2

Field Data Notes
Atkin-Lehner 3+ 31+ 83- Signs for the Atkin-Lehner involutions
Class 7719b Isogeny class
Conductor 7719 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 155684511 = 36 · 31 · 832 Discriminant
Eigenvalues -1 3+  2 -4  4  4  0  6 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-212,-1114] [a1,a2,a3,a4,a6]
j 1054045415233/155684511 j-invariant
L 1.2634977039969 L(r)(E,1)/r!
Ω 1.2634977039969 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 123504bi2 23157d2 Quadratic twists by: -4 -3


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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