Cremona's table of elliptic curves

Curve 65824f1

65824 = 25 · 112 · 17



Data for elliptic curve 65824f1

Field Data Notes
Atkin-Lehner 2+ 11- 17- Signs for the Atkin-Lehner involutions
Class 65824f Isogeny class
Conductor 65824 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 67200 Modular degree for the optimal curve
Δ 1927458368 = 26 · 116 · 17 Discriminant
Eigenvalues 2+ -2  4 -4 11- -2 17-  8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-766,7632] [a1,a2,a3,a4,a6]
Generators [-32:20:1] Generators of the group modulo torsion
j 438976/17 j-invariant
L 5.1559602721595 L(r)(E,1)/r!
Ω 1.4663422589727 Real period
R 3.5162051969311 Regulator
r 1 Rank of the group of rational points
S 1.0000000001319 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 65824e1 544f1 Quadratic twists by: -4 -11


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