Cremona's table of elliptic curves

Curve 102672bf2

102672 = 24 · 32 · 23 · 31



Data for elliptic curve 102672bf2

Field Data Notes
Atkin-Lehner 2- 3- 23+ 31+ Signs for the Atkin-Lehner involutions
Class 102672bf Isogeny class
Conductor 102672 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 3035963400192 = 213 · 36 · 232 · 312 Discriminant
Eigenvalues 2- 3-  0 -4  4  0 -2 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-3675,-18038] [a1,a2,a3,a4,a6]
Generators [-27:248:1] Generators of the group modulo torsion
j 1838265625/1016738 j-invariant
L 5.0090551946828 L(r)(E,1)/r!
Ω 0.65665740590437 Real period
R 0.95351379990628 Regulator
r 1 Rank of the group of rational points
S 1.0000000015889 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 12834r2 11408i2 Quadratic twists by: -4 -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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