Cremona's table of elliptic curves

Curve 59640s5

59640 = 23 · 3 · 5 · 7 · 71



Data for elliptic curve 59640s5

Field Data Notes
Atkin-Lehner 2- 3- 5- 7- 71+ Signs for the Atkin-Lehner involutions
Class 59640s Isogeny class
Conductor 59640 Conductor
∏ cp 288 Product of Tamagawa factors cp
Δ -8.1411657714844E+26 Discriminant
Eigenvalues 2- 3- 5- 7-  4 -2  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,203174160,-801190101600] [a1,a2,a3,a4,a6]
Generators [22105545:3560156250:1331] Generators of the group modulo torsion
j 452896720973903215259016478/397517859935760498046875 j-invariant
L 9.2917409875388 L(r)(E,1)/r!
Ω 0.027637820256584 Real period
R 4.6693971145969 Regulator
r 1 Rank of the group of rational points
S 1.0000000000032 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 119280f5 Quadratic twists by: -4


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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