Cremona's table of elliptic curves

Curve 17094s2

17094 = 2 · 3 · 7 · 11 · 37



Data for elliptic curve 17094s2

Field Data Notes
Atkin-Lehner 2- 3+ 7+ 11- 37+ Signs for the Atkin-Lehner involutions
Class 17094s Isogeny class
Conductor 17094 Conductor
∏ cp 240 Product of Tamagawa factors cp
Δ 194207688347194368 = 210 · 310 · 72 · 116 · 37 Discriminant
Eigenvalues 2- 3+  2 7+ 11-  2  0 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-154902,-10118637] [a1,a2,a3,a4,a6]
Generators [-279:3527:1] Generators of the group modulo torsion
j 411050293632002943073/194207688347194368 j-invariant
L 7.2834192800179 L(r)(E,1)/r!
Ω 0.25202558033027 Real period
R 0.48165873152461 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 51282h2 119658cz2 Quadratic twists by: -3 -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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