Cremona's table of elliptic curves

Curve 77616q1

77616 = 24 · 32 · 72 · 11



Data for elliptic curve 77616q1

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 11+ Signs for the Atkin-Lehner involutions
Class 77616q Isogeny class
Conductor 77616 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 10240 Modular degree for the optimal curve
Δ -1629936 = -1 · 24 · 33 · 73 · 11 Discriminant
Eigenvalues 2+ 3+ -3 7- 11+  1  4 -5 Hecke eigenvalues for primes up to 20
Equation [0,0,0,21,49] [a1,a2,a3,a4,a6]
Generators [0:7:1] [8:27:1] Generators of the group modulo torsion
j 6912/11 j-invariant
L 9.2265658193496 L(r)(E,1)/r!
Ω 1.8175707292265 Real period
R 1.2690793363729 Regulator
r 2 Rank of the group of rational points
S 0.99999999999127 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 38808o1 77616bb1 77616o1 Quadratic twists by: -4 -3 -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
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