Cremona's table of elliptic curves

Curve 71225b3

71225 = 52 · 7 · 11 · 37



Data for elliptic curve 71225b3

Field Data Notes
Atkin-Lehner 5+ 7+ 11+ 37+ Signs for the Atkin-Lehner involutions
Class 71225b Isogeny class
Conductor 71225 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -23144647216796875 = -1 · 514 · 7 · 114 · 37 Discriminant
Eigenvalues -1  0 5+ 7+ 11+  2 -2 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-4855,-7319478] [a1,a2,a3,a4,a6]
Generators [16455:388397:27] Generators of the group modulo torsion
j -809818183161/1481257421875 j-invariant
L 2.2032786776643 L(r)(E,1)/r!
Ω 0.17199363277927 Real period
R 6.405116989604 Regulator
r 1 Rank of the group of rational points
S 0.99999999946804 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 14245e4 Quadratic twists by: 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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