Cremona's table of elliptic curves

Curve 74175b1

74175 = 3 · 52 · 23 · 43



Data for elliptic curve 74175b1

Field Data Notes
Atkin-Lehner 3+ 5+ 23+ 43+ Signs for the Atkin-Lehner involutions
Class 74175b Isogeny class
Conductor 74175 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 28800 Modular degree for the optimal curve
Δ -5794921875 = -1 · 3 · 59 · 23 · 43 Discriminant
Eigenvalues -1 3+ 5+  0 -1  2  4  1 Hecke eigenvalues for primes up to 20
Equation [1,1,1,437,-844] [a1,a2,a3,a4,a6]
Generators [40:267:1] Generators of the group modulo torsion
j 590589719/370875 j-invariant
L 3.6513687348108 L(r)(E,1)/r!
Ω 0.77612694841263 Real period
R 2.3523012192812 Regulator
r 1 Rank of the group of rational points
S 1.0000000001848 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 14835i1 Quadratic twists by: 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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