Cremona's table of elliptic curves

Curve 46389b3

46389 = 3 · 7 · 472



Data for elliptic curve 46389b3

Field Data Notes
Atkin-Lehner 3+ 7+ 47- Signs for the Atkin-Lehner involutions
Class 46389b Isogeny class
Conductor 46389 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -7980814258351940943 = -1 · 38 · 74 · 477 Discriminant
Eigenvalues -1 3+ -2 7+  0 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,371066,104581202] [a1,a2,a3,a4,a6]
j 524191506047/740389167 j-invariant
L 0.31601023305309 L(r)(E,1)/r!
Ω 0.15800511654941 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 987b4 Quadratic twists by: -47


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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