Cremona's table of elliptic curves

Curve 54978bg2

54978 = 2 · 3 · 72 · 11 · 17



Data for elliptic curve 54978bg2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 11- 17- Signs for the Atkin-Lehner involutions
Class 54978bg Isogeny class
Conductor 54978 Conductor
∏ cp 448 Product of Tamagawa factors cp
Δ 1259357384877996096 = 26 · 314 · 76 · 112 · 172 Discriminant
Eigenvalues 2+ 3-  2 7- 11- -2 17-  4 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-4858180,-4121581054] [a1,a2,a3,a4,a6]
Generators [-1280:1022:1] Generators of the group modulo torsion
j 107784459654566688937/10704361149504 j-invariant
L 6.5587999611797 L(r)(E,1)/r!
Ω 0.10169128915036 Real period
R 2.3034702157519 Regulator
r 1 Rank of the group of rational points
S 0.99999999998785 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 1122c2 Quadratic twists by: -7


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

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