Cremona's table of elliptic curves

74970 = 2 · 3² · 5 · 7² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 17+	Signs for the Atkin-Lehner involutions
Conductor	74970	Conductor
Count	8	Number of curves in isogeny class
Curves	74970q1 74970q2 74970q3 74970q4 74970q5 74970q6 74970q7 74970q8	Curves in isogeny class
deg	7077888	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  0 -2 17+  4	Hecke eigenvalues for primes less than 20
L	3.9107090130712	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	24990bs 10710l	Quadratic twists by: -3 -7

Hecke Eigenvalues for isogeny class 74970q

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

---

Quadratic twists for isogeny class 74970q

-3	-7
24990bs	10710l

---

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