Cremona's table of elliptic curves

306 = 2 · 3² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 17+	Signs for the Atkin-Lehner involutions
Class	306c	Isogeny class
Conductor	306	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-91535889140802 = -1 · 2 · 38 · 178	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-14796,835434]	[a1,a2,a3,a4,a6]
j	-491411892194497/125563633938	j-invariant
L	1.1471740368869	L(r)(E,1)/r!
Ω	0.57358701844346	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	2448n6 9792k6 102b6 7650bz6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 306c6

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	+	4	0	10	8	-2	-10	12	0	-6	-12	-10	-12	0	10	-8	-4	6	-14

---

Quadratic twists for elliptic curve 306c6

-4	8	-3	5	-7	-11	13	17	-19
2448n6	9792k6	102b6	7650bz6	14994bh6	37026bj5	51714p5	5202b6	110466bj5

---

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