Cremona's table of elliptic curves

Curve 27380d2

27380 = 22 · 5 · 372



Data for elliptic curve 27380d2

Field Data Notes
Atkin-Lehner 2- 5- 37+ Signs for the Atkin-Lehner involutions
Class 27380d Isogeny class
Conductor 27380 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -16420649017600 = -1 · 28 · 52 · 376 Discriminant
Eigenvalues 2- -2 5-  2  0 -2  6  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,5020,140500] [a1,a2,a3,a4,a6]
Generators [34660:814555:64] Generators of the group modulo torsion
j 21296/25 j-invariant
L 4.387915796656 L(r)(E,1)/r!
Ω 0.4643244131085 Real period
R 4.7250539415754 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 109520y2 20a1 Quadratic twists by: -4 37


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations