Cremona's table of elliptic curves

Curve 23205o1

23205 = 3 · 5 · 7 · 13 · 17



Data for elliptic curve 23205o1

Field Data Notes
Atkin-Lehner 3- 5- 7- 13- 17- Signs for the Atkin-Lehner involutions
Class 23205o Isogeny class
Conductor 23205 Conductor
∏ cp 64 Product of Tamagawa factors cp
deg 102400 Modular degree for the optimal curve
Δ 114207470718705 = 316 · 5 · 74 · 13 · 17 Discriminant
Eigenvalues -1 3- 5- 7-  4 13- 17-  4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-57460,5271695] [a1,a2,a3,a4,a6]
j 20980751961338245441/114207470718705 j-invariant
L 2.3794519502801 L(r)(E,1)/r!
Ω 0.59486298757003 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 69615o1 116025b1 Quadratic twists by: -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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