Cremona's table of elliptic curves

Curve 70805n1

70805 = 5 · 72 · 172



Data for elliptic curve 70805n1

Field Data Notes
Atkin-Lehner 5+ 7- 17+ Signs for the Atkin-Lehner involutions
Class 70805n Isogeny class
Conductor 70805 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 967680 Modular degree for the optimal curve
Δ -2897762970750114425 = -1 · 52 · 710 · 177 Discriminant
Eigenvalues -1 -1 5+ 7-  3 -1 17+ -6 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-14456,-81909822] [a1,a2,a3,a4,a6]
j -49/425 j-invariant
L 0.92501210176552 L(r)(E,1)/r!
Ω 0.11562651211296 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 70805ba1 4165n1 Quadratic twists by: -7 17


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