Cremona's table of elliptic curves

Curve 127449bh2

127449 = 32 · 72 · 172



Data for elliptic curve 127449bh2

Field Data Notes
Atkin-Lehner 3- 7- 17+ Signs for the Atkin-Lehner involutions
Class 127449bh Isogeny class
Conductor 127449 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 598283656751456361 = 36 · 76 · 178 Discriminant
Eigenvalues  1 3-  2 7-  0  2 17+  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-724866,-234424513] [a1,a2,a3,a4,a6]
Generators [-403023617110:-297619437289:898632125] Generators of the group modulo torsion
j 20346417/289 j-invariant
L 10.859490072552 L(r)(E,1)/r!
Ω 0.16376028678439 Real period
R 16.578332717157 Regulator
r 1 Rank of the group of rational points
S 0.99999999925204 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 14161b2 2601j2 7497o2 Quadratic twists by: -3 -7 17


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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