Cremona's table of elliptic curves

Curve 16317j2

16317 = 32 · 72 · 37



Data for elliptic curve 16317j2

Field Data Notes
Atkin-Lehner 3- 7- 37- Signs for the Atkin-Lehner involutions
Class 16317j Isogeny class
Conductor 16317 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 51779494465209 = 38 · 78 · 372 Discriminant
Eigenvalues -1 3- -2 7- -4 -2  2 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-9491,84746] [a1,a2,a3,a4,a6]
Generators [-99:265:1] [-54:688:1] Generators of the group modulo torsion
j 1102302937/603729 j-invariant
L 4.1125040168188 L(r)(E,1)/r!
Ω 0.54988557639503 Real period
R 3.7394179747161 Regulator
r 2 Rank of the group of rational points
S 1.0000000000003 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 5439f2 2331b2 Quadratic twists by: -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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