Cremona's table of elliptic curves

Curve 117216b2

117216 = 25 · 32 · 11 · 37



Data for elliptic curve 117216b2

Field Data Notes
Atkin-Lehner 2+ 3+ 11+ 37+ Signs for the Atkin-Lehner involutions
Class 117216b Isogeny class
Conductor 117216 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 268215129059328 = 212 · 33 · 116 · 372 Discriminant
Eigenvalues 2+ 3+  4 -2 11+  2 -2  2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-27228,1539360] [a1,a2,a3,a4,a6]
Generators [-180:780:1] Generators of the group modulo torsion
j 20185858556352/2425267009 j-invariant
L 9.32655891297 L(r)(E,1)/r!
Ω 0.53235473703785 Real period
R 4.379860967384 Regulator
r 1 Rank of the group of rational points
S 0.99999999772197 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 117216x2 117216y2 Quadratic twists by: -4 -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
Back to Tables and computations