Cremona's table of elliptic curves

Curve 86394ci2

86394 = 2 · 3 · 7 · 112 · 17



Data for elliptic curve 86394ci2

Field Data Notes
Atkin-Lehner 2- 3+ 7- 11- 17- Signs for the Atkin-Lehner involutions
Class 86394ci Isogeny class
Conductor 86394 Conductor
∏ cp 336 Product of Tamagawa factors cp
Δ 624506815424435328 = 27 · 34 · 76 · 116 · 172 Discriminant
Eigenvalues 2- 3+  2 7- 11-  0 17-  2 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-6676117,-6642152197] [a1,a2,a3,a4,a6]
Generators [-1489:996:1] Generators of the group modulo torsion
j 18575453384550358633/352517816448 j-invariant
L 11.351478276395 L(r)(E,1)/r!
Ω 0.093922374587446 Real period
R 1.4388120690546 Regulator
r 1 Rank of the group of rational points
S 1.0000000002729 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 714a2 Quadratic twists by: -11


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