Cremona's table of elliptic curves

10010 = 2 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 11+ 13+	Signs for the Atkin-Lehner involutions
Class	10010g	Isogeny class
Conductor	10010	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	16576071230468750 = 2 · 510 · 73 · 114 · 132	Discriminant
Eigenvalues	2+  2 5- 7+ 11+ 13+  8  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-106067,-11809129]	[a1,a2,a3,a4,a6]
j	131968708375248110521/16576071230468750	j-invariant
L	2.6673101675837	L(r)(E,1)/r!
Ω	0.26673101675837	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	80080by2 90090cu2 50050bu2 70070g2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010g2

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	-	+	+	+	8	6	6	2	-4	10	0	-8	0	4	-2	-2	-4	10	-2	-4	4	-4	-10

---

Quadratic twists for elliptic curve 10010g2

-4	-3	5	-7	-11
80080by2	90090cu2	50050bu2	70070g2	110110cv2

---

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