Cremona's table of elliptic curves

Curve 54782u1

54782 = 2 · 72 · 13 · 43



Data for elliptic curve 54782u1

Field Data Notes
Atkin-Lehner 2+ 7- 13- 43+ Signs for the Atkin-Lehner involutions
Class 54782u Isogeny class
Conductor 54782 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 46080 Modular degree for the optimal curve
Δ -191509983392 = -1 · 25 · 77 · 132 · 43 Discriminant
Eigenvalues 2+  1  2 7-  3 13-  2  1 Hecke eigenvalues for primes up to 20
Equation [1,0,1,905,-18182] [a1,a2,a3,a4,a6]
Generators [214:1163:8] Generators of the group modulo torsion
j 697864103/1627808 j-invariant
L 6.5910599509303 L(r)(E,1)/r!
Ω 0.5217936021471 Real period
R 1.5789432650943 Regulator
r 1 Rank of the group of rational points
S 0.99999999998403 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 7826a1 Quadratic twists by: -7


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations