Cremona's table of elliptic curves

Curve 70434k2

70434 = 2 · 32 · 7 · 13 · 43



Data for elliptic curve 70434k2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 13- 43- Signs for the Atkin-Lehner involutions
Class 70434k Isogeny class
Conductor 70434 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 345907262280146112 = 26 · 312 · 72 · 136 · 43 Discriminant
Eigenvalues 2+ 3-  0 7-  0 13-  6 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-209952,23934528] [a1,a2,a3,a4,a6]
Generators [648:-12960:1] Generators of the group modulo torsion
j 1403968602467418625/474495558683328 j-invariant
L 4.7777068559315 L(r)(E,1)/r!
Ω 0.279252628613 Real period
R 0.712871065819 Regulator
r 1 Rank of the group of rational points
S 1.0000000000253 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 23478t2 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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