Cremona's table of elliptic curves

Curve 115920ct3

115920 = 24 · 32 · 5 · 7 · 23



Data for elliptic curve 115920ct3

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7+ 23+ Signs for the Atkin-Lehner involutions
Class 115920ct Isogeny class
Conductor 115920 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 4103273424644997120 = 218 · 37 · 5 · 76 · 233 Discriminant
Eigenvalues 2- 3- 5+ 7+  0  2  0  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-415803,-33939862] [a1,a2,a3,a4,a6]
Generators [960311:8588736:1331] Generators of the group modulo torsion
j 2662558086295801/1374177967680 j-invariant
L 6.5284826688068 L(r)(E,1)/r!
Ω 0.19882918828714 Real period
R 8.2086573111804 Regulator
r 1 Rank of the group of rational points
S 0.99999999821854 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 14490bq3 38640bx3 Quadratic twists by: -4 -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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