Cremona's table of elliptic curves

Curve 78078o1

78078 = 2 · 3 · 7 · 11 · 132



Data for elliptic curve 78078o1

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 11+ 13+ Signs for the Atkin-Lehner involutions
Class 78078o Isogeny class
Conductor 78078 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 499200 Modular degree for the optimal curve
Δ -4818088173330432 = -1 · 213 · 32 · 74 · 115 · 132 Discriminant
Eigenvalues 2+ 3+  2 7- 11+ 13+  0 -1 Hecke eigenvalues for primes up to 20
Equation [1,1,0,40726,1087572] [a1,a2,a3,a4,a6]
j 44201358363692543/28509397475328 j-invariant
L 2.1621990773411 L(r)(E,1)/r!
Ω 0.27027488788706 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 78078cf1 Quadratic twists by: 13


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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