Cremona's table of elliptic curves

Curve 116928dg1

116928 = 26 · 32 · 7 · 29



Data for elliptic curve 116928dg1

Field Data Notes
Atkin-Lehner 2- 3- 7+ 29+ Signs for the Atkin-Lehner involutions
Class 116928dg Isogeny class
Conductor 116928 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 589824 Modular degree for the optimal curve
Δ -11590270465277952 = -1 · 216 · 36 · 73 · 294 Discriminant
Eigenvalues 2- 3-  0 7+  0 -4 -2  6 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-76620,9667856] [a1,a2,a3,a4,a6]
Generators [124:1440:1] Generators of the group modulo torsion
j -1041220466500/242597383 j-invariant
L 5.6575961655226 L(r)(E,1)/r!
Ω 0.38421176767301 Real period
R 3.6813006613943 Regulator
r 1 Rank of the group of rational points
S 1.0000000049 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 116928bx1 29232f1 12992bc1 Quadratic twists by: -4 8 -3


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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