Cremona's table of elliptic curves

Curve 49818s1

49818 = 2 · 3 · 192 · 23



Data for elliptic curve 49818s1

Field Data Notes
Atkin-Lehner 2+ 3- 19- 23- Signs for the Atkin-Lehner involutions
Class 49818s Isogeny class
Conductor 49818 Conductor
∏ cp 21 Product of Tamagawa factors cp
deg 75841920 Modular degree for the optimal curve
Δ 4.5090454489496E+24 Discriminant
Eigenvalues 2+ 3- -4  4  2  0 -7 19- Hecke eigenvalues for primes up to 20
Equation [1,0,1,-4423423258,-113236671762748] [a1,a2,a3,a4,a6]
j 1561216719962882872081/735442296552 j-invariant
L 1.5550316349437 L(r)(E,1)/r!
Ω 0.018512281376329 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 49818x1 Quadratic twists by: -19


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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