Cremona's table of elliptic curves

Curve 35574cc1

35574 = 2 · 3 · 72 · 112



Data for elliptic curve 35574cc1

Field Data Notes
Atkin-Lehner 2- 3+ 7- 11- Signs for the Atkin-Lehner involutions
Class 35574cc Isogeny class
Conductor 35574 Conductor
∏ cp 22 Product of Tamagawa factors cp
deg 836352 Modular degree for the optimal curve
Δ -5.3146546426883E+19 Discriminant
Eigenvalues 2- 3+ -2 7- 11- -1  2  0 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-145384,-351457303] [a1,a2,a3,a4,a6]
j -13475473/2107392 j-invariant
L 1.9516374109528 L(r)(E,1)/r!
Ω 0.088710791406456 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 106722dc1 5082z1 35574n1 Quadratic twists by: -3 -7 -11


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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