Cremona's table of elliptic curves

Curve 120185d2

120185 = 5 · 13 · 432



Data for elliptic curve 120185d2

Field Data Notes
Atkin-Lehner 5- 13+ 43- Signs for the Atkin-Lehner involutions
Class 120185d Isogeny class
Conductor 120185 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -26707758882025 = -1 · 52 · 132 · 436 Discriminant
Eigenvalues  1  2 5-  4  2 13+  2  6 Hecke eigenvalues for primes up to 20
Equation [1,1,0,7358,-50031] [a1,a2,a3,a4,a6]
Generators [661412484310392:10678072101535599:38405782562419] Generators of the group modulo torsion
j 6967871/4225 j-invariant
L 16.141035013438 L(r)(E,1)/r!
Ω 0.38773195290217 Real period
R 20.814682539008 Regulator
r 1 Rank of the group of rational points
S 0.9999999996073 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 65a2 Quadratic twists by: -43


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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