Cremona's table of elliptic curves

Curve 99216bp2

99216 = 24 · 32 · 13 · 53



Data for elliptic curve 99216bp2

Field Data Notes
Atkin-Lehner 2- 3- 13- 53- Signs for the Atkin-Lehner involutions
Class 99216bp Isogeny class
Conductor 99216 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -6814948608 = -1 · 28 · 36 · 13 · 532 Discriminant
Eigenvalues 2- 3-  0  0  4 13-  2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,465,938] [a1,a2,a3,a4,a6]
Generators [80810:752479:1000] Generators of the group modulo torsion
j 59582000/36517 j-invariant
L 7.4927221058475 L(r)(E,1)/r!
Ω 0.82043446226143 Real period
R 9.1326272161723 Regulator
r 1 Rank of the group of rational points
S 1.0000000008959 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 24804i2 11024j2 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
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