Cremona's table of elliptic curves

Curve 25575b1

25575 = 3 · 52 · 11 · 31



Data for elliptic curve 25575b1

Field Data Notes
Atkin-Lehner 3+ 5+ 11+ 31- Signs for the Atkin-Lehner involutions
Class 25575b Isogeny class
Conductor 25575 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 14976 Modular degree for the optimal curve
Δ -17982421875 = -1 · 33 · 59 · 11 · 31 Discriminant
Eigenvalues  0 3+ 5+  1 11+ -2  6  2 Hecke eigenvalues for primes up to 20
Equation [0,-1,1,617,2418] [a1,a2,a3,a4,a6]
j 1659797504/1150875 j-invariant
L 1.5514685349274 L(r)(E,1)/r!
Ω 0.77573426746369 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 76725u1 5115i1 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
Back to Tables and computations