Cremona's table of elliptic curves

Curve 88935be1

88935 = 3 · 5 · 72 · 112



Data for elliptic curve 88935be1

Field Data Notes
Atkin-Lehner 3+ 5- 7- 11- Signs for the Atkin-Lehner involutions
Class 88935be Isogeny class
Conductor 88935 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 69120 Modular degree for the optimal curve
Δ -58594380075 = -1 · 33 · 52 · 72 · 116 Discriminant
Eigenvalues  0 3+ 5- 7- 11- -1  6  5 Hecke eigenvalues for primes up to 20
Equation [0,-1,1,565,-10627] [a1,a2,a3,a4,a6]
j 229376/675 j-invariant
L 2.2812726605814 L(r)(E,1)/r!
Ω 0.57031814408541 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 88935bm1 735c1 Quadratic twists by: -7 -11


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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