Cremona's table of elliptic curves

Curve 7098x3

7098 = 2 · 3 · 7 · 132



Data for elliptic curve 7098x3

Field Data Notes
Atkin-Lehner 2- 3- 7+ 13+ Signs for the Atkin-Lehner involutions
Class 7098x Isogeny class
Conductor 7098 Conductor
∏ cp 108 Product of Tamagawa factors cp
Δ -176861231129296896 = -1 · 227 · 3 · 7 · 137 Discriminant
Eigenvalues 2- 3- -3 7+ -3 13+ -3  7 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-4403552,-3557170176] [a1,a2,a3,a4,a6]
Generators [3264:128160:1] Generators of the group modulo torsion
j -1956469094246217097/36641439744 j-invariant
L 5.860465455915 L(r)(E,1)/r!
Ω 0.052109665839771 Real period
R 1.0413340435362 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 56784cc3 21294t3 49686cj3 546d3 Quadratic twists by: -4 -3 -7 13


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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