Cremona's table of elliptic curves

Curve 61605k3

61605 = 32 · 5 · 372



Data for elliptic curve 61605k3

Field Data Notes
Atkin-Lehner 3- 5- 37+ Signs for the Atkin-Lehner involutions
Class 61605k Isogeny class
Conductor 61605 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 94689736703150625 = 310 · 54 · 376 Discriminant
Eigenvalues -1 3- 5-  0  4  2  2 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-123467,7753866] [a1,a2,a3,a4,a6]
Generators [-16:3126:1] Generators of the group modulo torsion
j 111284641/50625 j-invariant
L 4.5313316613739 L(r)(E,1)/r!
Ω 0.30301721365882 Real period
R 3.7385101054679 Regulator
r 1 Rank of the group of rational points
S 0.99999999995519 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 20535a3 45a4 Quadratic twists by: -3 37


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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