Cremona's table of elliptic curves

Curve 1734i5

1734 = 2 · 3 · 172



Data for elliptic curve 1734i5

Field Data Notes
Atkin-Lehner 2- 3+ 17+ Signs for the Atkin-Lehner involutions
Class 1734i Isogeny class
Conductor 1734 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 125563633938 = 2 · 32 · 178 Discriminant
Eigenvalues 2- 3+  2  0  4 -2 17+  4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-8018022,-8742084111] [a1,a2,a3,a4,a6]
j 2361739090258884097/5202 j-invariant
L 2.8709968885608 L(r)(E,1)/r!
Ω 0.089718652767525 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 16 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 13872bi5 55488bl6 5202b5 43350ba6 Quadratic twists by: -4 8 -3 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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