Cremona's table of elliptic curves

Curve 42350x2

42350 = 2 · 52 · 7 · 112



Data for elliptic curve 42350x2

Field Data Notes
Atkin-Lehner 2+ 5+ 7- 11- Signs for the Atkin-Lehner involutions
Class 42350x Isogeny class
Conductor 42350 Conductor
∏ cp 6 Product of Tamagawa factors cp
Δ 66404800 = 26 · 52 · 73 · 112 Discriminant
Eigenvalues 2+ -1 5+ 7- 11- -4 -6  4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-310,1940] [a1,a2,a3,a4,a6]
Generators [4:-30:1] Generators of the group modulo torsion
j 1094638105/21952 j-invariant
L 2.4989976599434 L(r)(E,1)/r!
Ω 1.9576225445013 Real period
R 0.21275787365672 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 42350cu2 42350bx2 Quadratic twists by: 5 -11


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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