Cremona's table of elliptic curves

Curve 49984n1

49984 = 26 · 11 · 71



Data for elliptic curve 49984n1

Field Data Notes
Atkin-Lehner 2- 11+ 71- Signs for the Atkin-Lehner involutions
Class 49984n Isogeny class
Conductor 49984 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 34816 Modular degree for the optimal curve
Δ 136250785792 = 217 · 114 · 71 Discriminant
Eigenvalues 2-  1  0  1 11+ -7  0  3 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1473,12095] [a1,a2,a3,a4,a6]
Generators [-38:121:1] Generators of the group modulo torsion
j 2698465250/1039511 j-invariant
L 6.4047750991833 L(r)(E,1)/r!
Ω 0.94479566959903 Real period
R 1.6947513905 Regulator
r 1 Rank of the group of rational points
S 1.0000000000028 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 49984h1 12496c1 Quadratic twists by: -4 8


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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