Cremona's table of elliptic curves

Curve 27720x1

27720 = 23 · 32 · 5 · 7 · 11



Data for elliptic curve 27720x1

Field Data Notes
Atkin-Lehner 2+ 3- 5- 7- 11- Signs for the Atkin-Lehner involutions
Class 27720x Isogeny class
Conductor 27720 Conductor
∏ cp 240 Product of Tamagawa factors cp
deg 46080 Modular degree for the optimal curve
Δ -12938431968000 = -1 · 28 · 37 · 53 · 75 · 11 Discriminant
Eigenvalues 2+ 3- 5- 7- 11- -4 -1  3 Hecke eigenvalues for primes up to 20
Equation [0,0,0,5748,-42604] [a1,a2,a3,a4,a6]
Generators [262:4410:1] Generators of the group modulo torsion
j 112539892736/69328875 j-invariant
L 6.1741449419676 L(r)(E,1)/r!
Ω 0.41007068028436 Real period
R 0.062734560556794 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 55440bd1 9240s1 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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