Cremona's table of elliptic curves

Curve 16302c1

16302 = 2 · 3 · 11 · 13 · 19



Data for elliptic curve 16302c1

Field Data Notes
Atkin-Lehner 2+ 3+ 11- 13+ 19+ Signs for the Atkin-Lehner involutions
Class 16302c Isogeny class
Conductor 16302 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 30720 Modular degree for the optimal curve
Δ -723627260928 = -1 · 210 · 34 · 11 · 133 · 192 Discriminant
Eigenvalues 2+ 3+  0  4 11- 13+  6 19+ Hecke eigenvalues for primes up to 20
Equation [1,1,0,-1320,44352] [a1,a2,a3,a4,a6]
j -254659266591625/723627260928 j-invariant
L 1.589637280866 L(r)(E,1)/r!
Ω 0.79481864043299 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 48906ba1 Quadratic twists by: -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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