Cremona's table of elliptic curves

Curve 73150n3

73150 = 2 · 52 · 7 · 11 · 19



Data for elliptic curve 73150n3

Field Data Notes
Atkin-Lehner 2+ 5+ 7- 11- 19- Signs for the Atkin-Lehner involutions
Class 73150n Isogeny class
Conductor 73150 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 4004936459605812500 = 22 · 56 · 73 · 11 · 198 Discriminant
Eigenvalues 2+  0 5+ 7- 11- -2 -6 19- Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-2080142,1151248016] [a1,a2,a3,a4,a6]
Generators [-1640:13056:1] [-842:48434:1] Generators of the group modulo torsion
j 63706354251539629617/256315933414772 j-invariant
L 7.9689555155325 L(r)(E,1)/r!
Ω 0.24856302528274 Real period
R 1.3358375115012 Regulator
r 2 Rank of the group of rational points
S 1.0000000000069 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2926a4 Quadratic twists by: 5


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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