Cremona's table of elliptic curves

Curve 55650bm1

55650 = 2 · 3 · 52 · 7 · 53



Data for elliptic curve 55650bm1

Field Data Notes
Atkin-Lehner 2+ 3- 5- 7- 53+ Signs for the Atkin-Lehner involutions
Class 55650bm Isogeny class
Conductor 55650 Conductor
∏ cp 66 Product of Tamagawa factors cp
deg 28607040 Modular degree for the optimal curve
Δ -1.580722371524E+27 Discriminant
Eigenvalues 2+ 3- 5- 7- -3 -2  2 -1 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-128042701,-1992516576952] [a1,a2,a3,a4,a6]
j -594330684630594022533865/4046649271101394255872 j-invariant
L 1.3162061163054 L(r)(E,1)/r!
Ω 0.019942516913044 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 55650ca1 Quadratic twists by: 5


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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