Cremona's table of elliptic curves

Curve 1120l1

1120 = 25 · 5 · 7



Data for elliptic curve 1120l1

Field Data Notes
Atkin-Lehner 2- 5- 7+ Signs for the Atkin-Lehner involutions
Class 1120l Isogeny class
Conductor 1120 Conductor
∏ cp 16 Product of Tamagawa factors cp
deg 384 Modular degree for the optimal curve
Δ 96040000 = 26 · 54 · 74 Discriminant
Eigenvalues 2-  0 5- 7+  0 -2  2 -8 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-817,8976] [a1,a2,a3,a4,a6]
Generators [7:60:1] Generators of the group modulo torsion
j 942344950464/1500625 j-invariant
L 2.5457447420793 L(r)(E,1)/r!
Ω 1.8973889290502 Real period
R 1.3417094951395 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 1120o1 2240o2 10080j1 5600d1 Quadratic twists by: -4 8 -3 5


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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