Cremona's table of elliptic curves

Curve 37440cb4

37440 = 26 · 32 · 5 · 13



Data for elliptic curve 37440cb4

Field Data Notes
Atkin-Lehner 2+ 3- 5- 13+ Signs for the Atkin-Lehner involutions
Class 37440cb Isogeny class
Conductor 37440 Conductor
∏ cp 128 Product of Tamagawa factors cp
Δ 11645337600000000 = 220 · 37 · 58 · 13 Discriminant
Eigenvalues 2+ 3- 5-  0  4 13+  6 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-486732,-130599056] [a1,a2,a3,a4,a6]
Generators [-402:320:1] Generators of the group modulo torsion
j 66730743078481/60937500 j-invariant
L 6.7805580145842 L(r)(E,1)/r!
Ω 0.18075939912278 Real period
R 1.1722346886752 Regulator
r 1 Rank of the group of rational points
S 0.9999999999998 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 37440ey4 1170d3 12480u4 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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