Cremona's table of elliptic curves

Curve 44506m1

44506 = 2 · 7 · 11 · 172



Data for elliptic curve 44506m1

Field Data Notes
Atkin-Lehner 2+ 7- 11- 17+ Signs for the Atkin-Lehner involutions
Class 44506m Isogeny class
Conductor 44506 Conductor
∏ cp 60 Product of Tamagawa factors cp
deg 65802240 Modular degree for the optimal curve
Δ -3.5856958979748E+28 Discriminant
Eigenvalues 2+  0 -3 7- 11- -5 17+  8 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-5242239836,-146373484598192] [a1,a2,a3,a4,a6]
Generators [147096:47521076:1] Generators of the group modulo torsion
j -660056090712855266747143737/1485524867054684667904 j-invariant
L 2.7684033883278 L(r)(E,1)/r!
Ω 0.0088701665683611 Real period
R 5.2017125176187 Regulator
r 1 Rank of the group of rational points
S 1.0000000000027 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 2618a1 Quadratic twists by: 17


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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