Cremona's table of elliptic curves

Curve 34720w2

34720 = 25 · 5 · 7 · 31



Data for elliptic curve 34720w2

Field Data Notes
Atkin-Lehner 2- 5+ 7- 31- Signs for the Atkin-Lehner involutions
Class 34720w Isogeny class
Conductor 34720 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 86105600 = 29 · 52 · 7 · 312 Discriminant
Eigenvalues 2- -2 5+ 7-  0  2 -4 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1856,-31400] [a1,a2,a3,a4,a6]
j 1381725080072/168175 j-invariant
L 1.454684232125 L(r)(E,1)/r!
Ω 0.72734211605232 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 34720b2 69440by2 Quadratic twists by: -4 8


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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