Cremona's table of elliptic curves

Curve 116909f1

116909 = 13 · 17 · 232



Data for elliptic curve 116909f1

Field Data Notes
Atkin-Lehner 13- 17+ 23- Signs for the Atkin-Lehner involutions
Class 116909f Isogeny class
Conductor 116909 Conductor
∏ cp 1 Product of Tamagawa factors cp
deg 211968 Modular degree for the optimal curve
Δ 17306727747101 = 13 · 17 · 238 Discriminant
Eigenvalues  0  0 -1 -1  3 13- 17+  4 Hecke eigenvalues for primes up to 20
Equation [0,0,1,-48668,-4127655] [a1,a2,a3,a4,a6]
Generators [1713309:45672177:2197] Generators of the group modulo torsion
j 162791424/221 j-invariant
L 3.8382842332552 L(r)(E,1)/r!
Ω 0.32145788668583 Real period
R 11.940239659314 Regulator
r 1 Rank of the group of rational points
S 1.0000000067347 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 116909i1 Quadratic twists by: -23


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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