Cremona's table of elliptic curves

Curve 97785b2

97785 = 32 · 5 · 41 · 53



Data for elliptic curve 97785b2

Field Data Notes
Atkin-Lehner 3- 5+ 41- 53+ Signs for the Atkin-Lehner involutions
Class 97785b Isogeny class
Conductor 97785 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -1301958713502225 = -1 · 38 · 52 · 414 · 532 Discriminant
Eigenvalues -1 3- 5+ -2  4 -6 -6 -6 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-83093,9401982] [a1,a2,a3,a4,a6]
Generators [128:-987:1] Generators of the group modulo torsion
j -87033129720182281/1785951596025 j-invariant
L 1.5301326786754 L(r)(E,1)/r!
Ω 0.48316248007509 Real period
R 0.3958639028708 Regulator
r 1 Rank of the group of rational points
S 0.99999999869905 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 32595b2 Quadratic twists by: -3


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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