Cremona's table of elliptic curves

Curve 30960cd3

30960 = 24 · 32 · 5 · 43



Data for elliptic curve 30960cd3

Field Data Notes
Atkin-Lehner 2- 3- 5- 43- Signs for the Atkin-Lehner involutions
Class 30960cd Isogeny class
Conductor 30960 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ -8125142400000000 = -1 · 213 · 310 · 58 · 43 Discriminant
Eigenvalues 2- 3- 5- -4  0 -2 -2 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,49173,-1092454] [a1,a2,a3,a4,a6]
Generators [157:-3240:1] Generators of the group modulo torsion
j 4403686064471/2721093750 j-invariant
L 4.5423499034368 L(r)(E,1)/r!
Ω 0.23953065560094 Real period
R 0.59261072085439 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 3870y4 123840ey3 10320s4 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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