Cremona's table of elliptic curves

17325 = 3² · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	3- 5- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	17325bi	Isogeny class
Conductor	17325	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	7910241310125 = 36 · 53 · 72 · 116	Discriminant
Eigenvalues	1 3- 5- 7+ 11+ -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-10512,-389529]	[a1,a2,a3,a4,a6]
Generators	[234:3033:1]	Generators of the group modulo torsion
j	1409825840597/86806489	j-invariant
L	5.3038583785743	L(r)(E,1)/r!
Ω	0.47331164391739	Real period
R	2.8014620212365	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1925i2 17325br2 121275fp2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 17325bi2

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	-	-	+	+	-2	2	0	6	-10	8	-4	-2	8	6	-12	-4	-2	2	8	6	-8	16	6	-8

---

Quadratic twists for elliptic curve 17325bi2

-3	5	-7
1925i2	17325br2	121275fp2

---

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