Cremona's table of elliptic curves

Curve 65025bt1

65025 = 32 · 52 · 172



Data for elliptic curve 65025bt1

Field Data Notes
Atkin-Lehner 3- 5+ 17+ Signs for the Atkin-Lehner involutions
Class 65025bt Isogeny class
Conductor 65025 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 245760 Modular degree for the optimal curve
Δ -106897448391075 = -1 · 311 · 52 · 176 Discriminant
Eigenvalues  2 3- 5+ -3  2 -1 17+ -5 Hecke eigenvalues for primes up to 20
Equation [0,0,1,4335,-485159] [a1,a2,a3,a4,a6]
j 20480/243 j-invariant
L 2.3393398593989 L(r)(E,1)/r!
Ω 0.29241748352653 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 21675i1 65025ck2 225d1 Quadratic twists by: -3 5 17


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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