Cremona's table of elliptic curves

Curve 15792s4

15792 = 24 · 3 · 7 · 47



Data for elliptic curve 15792s4

Field Data Notes
Atkin-Lehner 2- 3+ 7- 47+ Signs for the Atkin-Lehner involutions
Class 15792s Isogeny class
Conductor 15792 Conductor
∏ cp 160 Product of Tamagawa factors cp
Δ -1.4156668817958E+26 Discriminant
Eigenvalues 2- 3+  2 7-  0  2 -6 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-57196112,-596152746048] [a1,a2,a3,a4,a6]
Generators [19776344620150:-3995017070893226:465484375] Generators of the group modulo torsion
j -5051999460336536454988753/34562179731343233457152 j-invariant
L 4.8522955286943 L(r)(E,1)/r!
Ω 0.024387536295554 Real period
R 19.896620428932 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 1974j4 63168dj3 47376bw3 110544ec3 Quadratic twists by: -4 8 -3 -7


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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