Cremona's table of elliptic curves

Curve 78400ip2

78400 = 26 · 52 · 72



Data for elliptic curve 78400ip2

Field Data Notes
Atkin-Lehner 2- 5+ 7- Signs for the Atkin-Lehner involutions
Class 78400ip Isogeny class
Conductor 78400 Conductor
∏ cp 2 Product of Tamagawa factors cp
Δ -1033052339200 = -1 · 210 · 52 · 79 Discriminant
Eigenvalues 2- -2 5+ 7-  3  4  0 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-19273,-1037457] [a1,a2,a3,a4,a6]
Generators [15092226:225163869:50653] Generators of the group modulo torsion
j -262885120/343 j-invariant
L 4.5426638510285 L(r)(E,1)/r!
Ω 0.202579912913 Real period
R 11.212029329006 Regulator
r 1 Rank of the group of rational points
S 1.0000000002052 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 78400ci2 19600cs2 78400ks2 11200cp2 Quadratic twists by: -4 8 5 -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
Back to Tables and computations