Cremona's table of elliptic curves

402 = 2 · 3 · 67

Field	Data	Notes
Atkin-Lehner	2+ 3- 67+	Signs for the Atkin-Lehner involutions
Class	402b	Isogeny class
Conductor	402	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	21708 = 22 · 34 · 67	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1430,20684]	[a1,a2,a3,a4,a6]
j	323068919441113/21708	j-invariant
L	1.447247950769	L(r)(E,1)/r!
Ω	2.894495901538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3216f3 12864g3 1206e3 10050v3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 402b3

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
+	-	2	0	4	-2	2	-4	4	-2	0	6	-2	4	12	2	0	-10	+	-4	-6	0	-16	-6	-6

---

Quadratic twists for elliptic curve 402b3

-4	8	-3	5	-7	-11	13	17	-67
3216f3	12864g3	1206e3	10050v3	19698b3	48642w4	67938t4	116178a4	26934d4

---

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