Cremona's table of elliptic curves

Curve 33418b1

33418 = 2 · 72 · 11 · 31



Data for elliptic curve 33418b1

Field Data Notes
Atkin-Lehner 2+ 7+ 11+ 31- Signs for the Atkin-Lehner involutions
Class 33418b Isogeny class
Conductor 33418 Conductor
∏ cp 54 Product of Tamagawa factors cp
deg 8049888 Modular degree for the optimal curve
Δ -3.777068726855E+25 Discriminant
Eigenvalues 2+  1  0 7+ 11+ -1 -6  2 Hecke eigenvalues for primes up to 20
Equation [1,0,1,48682454,-265211572580] [a1,a2,a3,a4,a6]
j 2213384127906793118375/6551949888391559168 j-invariant
L 0.19955315415989 L(r)(E,1)/r!
Ω 0.03325885902617 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 3 Number of elements in the torsion subgroup
Twists 33418i1 Quadratic twists by: -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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