Cremona's table of elliptic curves

Curve 5304g2

5304 = 23 · 3 · 13 · 17



Data for elliptic curve 5304g2

Field Data Notes
Atkin-Lehner 2- 3+ 13+ 17+ Signs for the Atkin-Lehner involutions
Class 5304g Isogeny class
Conductor 5304 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -50482538496 = -1 · 211 · 38 · 13 · 172 Discriminant
Eigenvalues 2- 3+ -2  4  6 13+ 17+  8 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,96,-10836] [a1,a2,a3,a4,a6]
j 47279806/24649677 j-invariant
L 2.1074200919712 L(r)(E,1)/r!
Ω 0.5268550229928 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 10608f2 42432ba2 15912e2 68952b2 Quadratic twists by: -4 8 -3 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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