Cremona's table of elliptic curves

Curve 15162r4

15162 = 2 · 3 · 7 · 192



Data for elliptic curve 15162r4

Field Data Notes
Atkin-Lehner 2- 3+ 7+ 19- Signs for the Atkin-Lehner involutions
Class 15162r Isogeny class
Conductor 15162 Conductor
∏ cp 24 Product of Tamagawa factors cp
Δ -3339139266268592472 = -1 · 23 · 34 · 78 · 197 Discriminant
Eigenvalues 2- 3+  2 7+  0 -2  2 19- Hecke eigenvalues for primes up to 20
Equation [1,1,1,130133,-85986511] [a1,a2,a3,a4,a6]
Generators [2946164:-633614799:64] Generators of the group modulo torsion
j 5180411077127/70976229912 j-invariant
L 6.9927964277356 L(r)(E,1)/r!
Ω 0.12303856962463 Real period
R 9.4723636242268 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 121296df3 45486l3 106134db3 798b4 Quadratic twists by: -4 -3 -7 -19


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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