Cremona's table of elliptic curves

Curve 39468a2

39468 = 22 · 3 · 11 · 13 · 23



Data for elliptic curve 39468a2

Field Data Notes
Atkin-Lehner 2- 3+ 11+ 13- 23- Signs for the Atkin-Lehner involutions
Class 39468a Isogeny class
Conductor 39468 Conductor
∏ cp 48 Product of Tamagawa factors cp
Δ 1404027685632 = 28 · 3 · 112 · 134 · 232 Discriminant
Eigenvalues 2- 3+ -2 -2 11+ 13-  0 -6 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-7844,263880] [a1,a2,a3,a4,a6]
Generators [-98:286:1] [786:6578:27] Generators of the group modulo torsion
j 208521992966992/5484483147 j-invariant
L 6.6313796170076 L(r)(E,1)/r!
Ω 0.85121636895945 Real period
R 0.64920622797646 Regulator
r 2 Rank of the group of rational points
S 0.99999999999997 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 118404m2 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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