Cremona's table of elliptic curves

Curve 57120l2

57120 = 25 · 3 · 5 · 7 · 17



Data for elliptic curve 57120l2

Field Data Notes
Atkin-Lehner 2+ 3+ 5- 7+ 17- Signs for the Atkin-Lehner involutions
Class 57120l Isogeny class
Conductor 57120 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 20727705600 = 212 · 35 · 52 · 72 · 17 Discriminant
Eigenvalues 2+ 3+ 5- 7+  0 -2 17-  2 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-21985,-1247375] [a1,a2,a3,a4,a6]
Generators [545:12180:1] Generators of the group modulo torsion
j 286921391242816/5060475 j-invariant
L 5.4191853275505 L(r)(E,1)/r!
Ω 0.39207283285317 Real period
R 3.4554710715909 Regulator
r 1 Rank of the group of rational points
S 1.000000000005 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 57120bb2 114240ih1 Quadratic twists by: -4 8


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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