Cremona's table of elliptic curves

Curve 17787n1

17787 = 3 · 72 · 112



Data for elliptic curve 17787n1

Field Data Notes
Atkin-Lehner 3- 7- 11- Signs for the Atkin-Lehner involutions
Class 17787n Isogeny class
Conductor 17787 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 1368576 Modular degree for the optimal curve
Δ -2.1629450674484E+21 Discriminant
Eigenvalues  1 3- -1 7- 11-  5 -7 -6 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-19091504,32183918435] [a1,a2,a3,a4,a6]
j -30515071121161/85766121 j-invariant
L 1.7631577176306 L(r)(E,1)/r!
Ω 0.14692980980255 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 53361bn1 2541a1 17787t1 Quadratic twists by: -3 -7 -11


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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