Cremona's table of elliptic curves

Curve 30528bo2

30528 = 26 · 32 · 53



Data for elliptic curve 30528bo2

Field Data Notes
Atkin-Lehner 2- 3- 53+ Signs for the Atkin-Lehner involutions
Class 30528bo Isogeny class
Conductor 30528 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -56901675515904 = -1 · 219 · 36 · 533 Discriminant
Eigenvalues 2- 3-  3 -2  3  4 -3 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-5196,-390512] [a1,a2,a3,a4,a6]
Generators [16480:137844:125] Generators of the group modulo torsion
j -81182737/297754 j-invariant
L 6.8509379913782 L(r)(E,1)/r!
Ω 0.25758991029067 Real period
R 6.6490744762163 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 30528m2 7632q2 3392s2 Quadratic twists by: -4 8 -3


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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