Cremona's table of elliptic curves

Curve 42075bv2

42075 = 32 · 52 · 11 · 17



Data for elliptic curve 42075bv2

Field Data Notes
Atkin-Lehner 3- 5- 11+ 17+ Signs for the Atkin-Lehner involutions
Class 42075bv Isogeny class
Conductor 42075 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 149369537109375 = 37 · 59 · 112 · 172 Discriminant
Eigenvalues  1 3- 5-  4 11+  2 17+ -6 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-13617,171666] [a1,a2,a3,a4,a6]
Generators [-122:138:1] Generators of the group modulo torsion
j 196122941/104907 j-invariant
L 8.053470516322 L(r)(E,1)/r!
Ω 0.50622756777559 Real period
R 3.9771987091242 Regulator
r 1 Rank of the group of rational points
S 1.0000000000002 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 14025z2 42075bz2 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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