Cremona's table of elliptic curves

3813 = 3 · 31 · 41

Field	Data	Notes
Atkin-Lehner	3+ 31+ 41-	Signs for the Atkin-Lehner involutions
Class	3813b	Isogeny class
Conductor	3813	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	34317 = 33 · 31 · 41	Discriminant
Eigenvalues	2 3+  0 -2  4  1  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-8,5]	[a1,a2,a3,a4,a6]
j	64000000/34317	j-invariant
L	3.2162316788519	L(r)(E,1)/r!
Ω	3.2162316788519	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	61008r1 11439d1 95325w1 118203k1	Quadratic twists by: -4 -3 5 -31

Hecke Eigenvalues for elliptic curve 3813b1

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	-2	4	1	6	-2	-1	10	+	-4	-	8	-1	10	12	2	-10	12	-6	17	15	12	-2

---

Quadratic twists for elliptic curve 3813b1

-4	-3	5	-31
61008r1	11439d1	95325w1	118203k1

---

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