Cremona's table of elliptic curves

Curve 10416bh2

10416 = 24 · 3 · 7 · 31



Data for elliptic curve 10416bh2

Field Data Notes
Atkin-Lehner 2- 3- 7+ 31- Signs for the Atkin-Lehner involutions
Class 10416bh Isogeny class
Conductor 10416 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 5358689021952 = 212 · 34 · 75 · 312 Discriminant
Eigenvalues 2- 3- -2 7+ -2  4  8  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1434104,660549012] [a1,a2,a3,a4,a6]
j 79635371136974578297/1308273687 j-invariant
L 2.1809537975294 L(r)(E,1)/r!
Ω 0.54523844938235 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 651a2 41664ck2 31248bq2 72912bj2 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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