Cremona's table of elliptic curves

Curve 136b2

136 = 23 · 17



Data for elliptic curve 136b2

Field Data Notes
Atkin-Lehner 2- 17+ Signs for the Atkin-Lehner involutions
Class 136b Isogeny class
Conductor 136 Conductor
∏ cp 2 Product of Tamagawa factors cp
Δ 591872 = 211 · 172 Discriminant
Eigenvalues 2-  2  0  0  2 -6 17+  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-48,140] [a1,a2,a3,a4,a6]
j 6097250/289 j-invariant
L 1.4336308379089 L(r)(E,1)/r!
Ω 2.8672616758177 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 272a2 1088d2 1224d2 3400e2 Quadratic twists by: -4 8 -3 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
Back to Tables and computations