Cremona's table of elliptic curves

Curve 78144cc1

78144 = 26 · 3 · 11 · 37



Data for elliptic curve 78144cc1

Field Data Notes
Atkin-Lehner 2- 3+ 11- 37+ Signs for the Atkin-Lehner involutions
Class 78144cc Isogeny class
Conductor 78144 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 65536 Modular degree for the optimal curve
Δ 44932174848 = 210 · 34 · 114 · 37 Discriminant
Eigenvalues 2- 3+  2  0 11- -2  6 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-4157,-101283] [a1,a2,a3,a4,a6]
Generators [236:3465:1] Generators of the group modulo torsion
j 7760117512192/43879077 j-invariant
L 6.4517912553792 L(r)(E,1)/r!
Ω 0.59476268644799 Real period
R 2.7119183002398 Regulator
r 1 Rank of the group of rational points
S 1.0000000001033 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 78144w1 19536l1 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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