Cremona's table of elliptic curves

Curve 1530f2

1530 = 2 · 32 · 5 · 17



Data for elliptic curve 1530f2

Field Data Notes
Atkin-Lehner 2+ 3- 5- 17+ Signs for the Atkin-Lehner involutions
Class 1530f Isogeny class
Conductor 1530 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 682606440000 = 26 · 310 · 54 · 172 Discriminant
Eigenvalues 2+ 3- 5- -4  4 -2 17+ -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-3789,81445] [a1,a2,a3,a4,a6]
Generators [-19:392:1] Generators of the group modulo torsion
j 8253429989329/936360000 j-invariant
L 2.0842644729353 L(r)(E,1)/r!
Ω 0.87735778861033 Real period
R 0.5939037927265 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 12240cc2 48960bt2 510d2 7650cf2 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
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