Cremona's table of elliptic curves

Curve 27040u1

27040 = 25 · 5 · 132



Data for elliptic curve 27040u1

Field Data Notes
Atkin-Lehner 2- 5- 13+ Signs for the Atkin-Lehner involutions
Class 27040u Isogeny class
Conductor 27040 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 15360 Modular degree for the optimal curve
Δ 1544578880 = 26 · 5 · 136 Discriminant
Eigenvalues 2- -2 5-  2  4 13+  2 -8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1070,12988] [a1,a2,a3,a4,a6]
Generators [13:38:1] Generators of the group modulo torsion
j 438976/5 j-invariant
L 4.3565854943607 L(r)(E,1)/r!
Ω 1.5120311208659 Real period
R 2.8812803084804 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 27040j1 54080n2 160a1 Quadratic twists by: -4 8 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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