Cremona's table of elliptic curves

Curve 36465b2

36465 = 3 · 5 · 11 · 13 · 17



Data for elliptic curve 36465b2

Field Data Notes
Atkin-Lehner 3+ 5+ 11+ 13- 17- Signs for the Atkin-Lehner involutions
Class 36465b Isogeny class
Conductor 36465 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 384282209025 = 32 · 52 · 112 · 132 · 174 Discriminant
Eigenvalues  1 3+ 5+  0 11+ 13- 17-  0 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-15898,764383] [a1,a2,a3,a4,a6]
Generators [702:-2221:8] Generators of the group modulo torsion
j 444420284496395689/384282209025 j-invariant
L 4.4526646988325 L(r)(E,1)/r!
Ω 0.94470577188545 Real period
R 1.1783204970647 Regulator
r 1 Rank of the group of rational points
S 1.0000000000001 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 109395bf2 Quadratic twists by: -3


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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