Cremona's table of elliptic curves

Curve 42075w2

42075 = 32 · 52 · 11 · 17



Data for elliptic curve 42075w2

Field Data Notes
Atkin-Lehner 3- 5+ 11+ 17+ Signs for the Atkin-Lehner involutions
Class 42075w Isogeny class
Conductor 42075 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 2.9767911064104E+22 Discriminant
Eigenvalues  1 3- 5+  0 11+ -2 17+ -8 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-20667042,-35192309009] [a1,a2,a3,a4,a6]
j 85705982088578117209/2613369421265625 j-invariant
L 0.28375944031868 L(r)(E,1)/r!
Ω 0.070939860091523 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 14025h2 8415n2 Quadratic twists by: -3 5


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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