Cremona's table of elliptic curves

Curve 55506bd3

55506 = 2 · 3 · 11 · 292



Data for elliptic curve 55506bd3

Field Data Notes
Atkin-Lehner 2- 3+ 11- 29+ Signs for the Atkin-Lehner involutions
Class 55506bd Isogeny class
Conductor 55506 Conductor
∏ cp 72 Product of Tamagawa factors cp
Δ 152008289328192 = 26 · 3 · 113 · 296 Discriminant
Eigenvalues 2- 3+  0  2 11- -4  6  4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-67718,-6784957] [a1,a2,a3,a4,a6]
Generators [1307:45601:1] Generators of the group modulo torsion
j 57736239625/255552 j-invariant
L 9.2770550725825 L(r)(E,1)/r!
Ω 0.2960323354603 Real period
R 1.7409988259446 Regulator
r 1 Rank of the group of rational points
S 0.99999999999764 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 66a3 Quadratic twists by: 29


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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