Cremona's table of elliptic curves

Curve 110495b1

110495 = 5 · 72 · 11 · 41



Data for elliptic curve 110495b1

Field Data Notes
Atkin-Lehner 5+ 7- 11- 41+ Signs for the Atkin-Lehner involutions
Class 110495b Isogeny class
Conductor 110495 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 1603584 Modular degree for the optimal curve
Δ -117763263254136115 = -1 · 5 · 715 · 112 · 41 Discriminant
Eigenvalues  2  0 5+ 7- 11- -6  0 -7 Hecke eigenvalues for primes up to 20
Equation [0,0,1,49147,-15969137] [a1,a2,a3,a4,a6]
Generators [1682:15297:8] Generators of the group modulo torsion
j 111590316969984/1000971221635 j-invariant
L 9.7364490167617 L(r)(E,1)/r!
Ω 0.16422824235489 Real period
R 7.4107602039462 Regulator
r 1 Rank of the group of rational points
S 1.0000000035229 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 15785c1 Quadratic twists by: -7


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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