Cremona's table of elliptic curves

152 = 2³ · 19

Field	Data	Notes
Atkin-Lehner	2+ 19-	Signs for the Atkin-Lehner involutions
Class	152b	Isogeny class
Conductor	152	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-38912 = -1 · 211 · 19	Discriminant
Eigenvalues	2+  1  0  3  2  1 -5 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8,-16]	[a1,a2,a3,a4,a6]
j	-31250/19	j-invariant
L	1.3670652145465	L(r)(E,1)/r!
Ω	1.3670652145465	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	304c1 1216c1 1368h1 3800g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 152b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	1	0	3	2	1	-5	-	-1	-3	4	2	-8	-8	-8	9	1	14	13	10	9	-10	10	-12	14

---

Quadratic twists for elliptic curve 152b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
304c1	1216c1	1368h1	3800g1	7448d1	18392e1	25688f1	43928b1	2888c1	80408c1	127832b1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations