Cremona's table of elliptic curves

158 = 2 · 79

Field	Data	Notes
Atkin-Lehner	2+ 79-	Signs for the Atkin-Lehner involutions
Class	158d	Isogeny class
Conductor	158	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	40	Modular degree for the optimal curve
Δ	31554496 = 26 · 793	Discriminant
Eigenvalues	2+  1  3 -1  0  5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-82,-92]	[a1,a2,a3,a4,a6]
j	59914169497/31554496	j-invariant
L	1.123529159023	L(r)(E,1)/r!
Ω	1.6852937385345	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1264b2 5056i2 1422i2 3950h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 158d1

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	3	-1	0	5	0	2	-6	0	-4	2	-12	8	-9	6	-9	8	-4	-9	2	-	18	9	17

---

Quadratic twists for elliptic curve 158d1

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264b2	5056i2	1422i2	3950h2	7742g2	19118e2	26702j2	45662c2	57038n2	83582d2	12482d2

---

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