Cremona's table of elliptic curves

Curve 17380a2

17380 = 22 · 5 · 11 · 79



Data for elliptic curve 17380a2

Field Data Notes
Atkin-Lehner 2- 5+ 11+ 79- Signs for the Atkin-Lehner involutions
Class 17380a Isogeny class
Conductor 17380 Conductor
∏ cp 1 Product of Tamagawa factors cp
Δ 372555735178000 = 24 · 53 · 119 · 79 Discriminant
Eigenvalues 2-  1 5+ -4 11+  2  0  8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-28006,-1555931] [a1,a2,a3,a4,a6]
Generators [-3183804:9570925:46656] Generators of the group modulo torsion
j 151835208442587904/23284733448625 j-invariant
L 4.4707427768554 L(r)(E,1)/r!
Ω 0.37285350891065 Real period
R 11.99061473209 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 69520t2 86900c2 Quadratic twists by: -4 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
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