Cremona's table of elliptic curves

Curve 97104bb2

97104 = 24 · 3 · 7 · 172



Data for elliptic curve 97104bb2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 17+ Signs for the Atkin-Lehner involutions
Class 97104bb Isogeny class
Conductor 97104 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 787535112059136 = 28 · 32 · 72 · 178 Discriminant
Eigenvalues 2+ 3-  2 7- -4  6 17+  0 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-35932,-2259220] [a1,a2,a3,a4,a6]
Generators [2226815215:33937191288:6331625] Generators of the group modulo torsion
j 830321872/127449 j-invariant
L 10.542111242227 L(r)(E,1)/r!
Ω 0.35033654527166 Real period
R 15.045691617916 Regulator
r 1 Rank of the group of rational points
S 0.99999999970977 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 48552c2 5712b2 Quadratic twists by: -4 17


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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