Cremona's table of elliptic curves

Curve 18130s1

18130 = 2 · 5 · 72 · 37



Data for elliptic curve 18130s1

Field Data Notes
Atkin-Lehner 2- 5- 7- 37- Signs for the Atkin-Lehner involutions
Class 18130s Isogeny class
Conductor 18130 Conductor
∏ cp 14 Product of Tamagawa factors cp
deg 78400 Modular degree for the optimal curve
Δ -955573413760 = -1 · 27 · 5 · 79 · 37 Discriminant
Eigenvalues 2- -2 5- 7-  4 -1  6 -8 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-56645,5184577] [a1,a2,a3,a4,a6]
Generators [102:635:1] Generators of the group modulo torsion
j -498111506983/23680 j-invariant
L 5.9476375107515 L(r)(E,1)/r!
Ω 0.83048229277314 Real period
R 0.5115476325803 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 90650e1 18130n1 Quadratic twists by: 5 -7


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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