Cremona's table of elliptic curves

Curve 127600bu2

127600 = 24 · 52 · 11 · 29



Data for elliptic curve 127600bu2

Field Data Notes
Atkin-Lehner 2- 5- 11- 29- Signs for the Atkin-Lehner involutions
Class 127600bu Isogeny class
Conductor 127600 Conductor
∏ cp 6 Product of Tamagawa factors cp
Δ -1.295167520768E+20 Discriminant
Eigenvalues 2- -1 5-  4 11- -1  6 -2 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,1174792,-244531088] [a1,a2,a3,a4,a6]
Generators [416805:25228816:125] Generators of the group modulo torsion
j 112069207574375/80947970048 j-invariant
L 7.1764990229258 L(r)(E,1)/r!
Ω 0.10407400147162 Real period
R 11.492622048172 Regulator
r 1 Rank of the group of rational points
S 1.0000000054623 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 15950h2 127600bd2 Quadratic twists by: -4 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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