Cremona's table of elliptic curves

Curve 47481i1

47481 = 3 · 72 · 17 · 19



Data for elliptic curve 47481i1

Field Data Notes
Atkin-Lehner 3+ 7- 17- 19+ Signs for the Atkin-Lehner involutions
Class 47481i Isogeny class
Conductor 47481 Conductor
∏ cp 32 Product of Tamagawa factors cp
deg 906240 Modular degree for the optimal curve
Δ -2.6523908782648E+19 Discriminant
Eigenvalues -1 3+ -2 7-  0 -2 17- 19+ Hecke eigenvalues for primes up to 20
Equation [1,1,1,-1331184,640435536] [a1,a2,a3,a4,a6]
Generators [923:13650:1] Generators of the group modulo torsion
j -2217429186346572913/225449504735679 j-invariant
L 1.8370087503873 L(r)(E,1)/r!
Ω 0.20606725332318 Real period
R 4.4573039159643 Regulator
r 1 Rank of the group of rational points
S 1.0000000000046 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 6783c1 Quadratic twists by: -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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