Cremona's table of elliptic curves

Curve 88935bb1

88935 = 3 · 5 · 72 · 112



Data for elliptic curve 88935bb1

Field Data Notes
Atkin-Lehner 3+ 5- 7- 11+ Signs for the Atkin-Lehner involutions
Class 88935bb Isogeny class
Conductor 88935 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 34560 Modular degree for the optimal curve
Δ -1100570625 = -1 · 33 · 54 · 72 · 113 Discriminant
Eigenvalues -1 3+ 5- 7- 11+  2  5  5 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-85,-1660] [a1,a2,a3,a4,a6]
Generators [28:-152:1] Generators of the group modulo torsion
j -1042139/16875 j-invariant
L 4.222936674469 L(r)(E,1)/r!
Ω 0.66504323320027 Real period
R 0.79373348568677 Regulator
r 1 Rank of the group of rational points
S 1.0000000013037 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 88935bl1 88935y1 Quadratic twists by: -7 -11


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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