Cremona's table of elliptic curves

Curve 36850s1

36850 = 2 · 52 · 11 · 67



Data for elliptic curve 36850s1

Field Data Notes
Atkin-Lehner 2- 5+ 11- 67+ Signs for the Atkin-Lehner involutions
Class 36850s Isogeny class
Conductor 36850 Conductor
∏ cp 54 Product of Tamagawa factors cp
deg 2131920 Modular degree for the optimal curve
Δ -8.2693962382023E+20 Discriminant
Eigenvalues 2-  2 5+ -2 11- -5  0  5 Hecke eigenvalues for primes up to 20
Equation [1,1,1,415612,1379874781] [a1,a2,a3,a4,a6]
Generators [-3723:982795:27] Generators of the group modulo torsion
j 812994933113975/84678617479192 j-invariant
L 11.681151037851 L(r)(E,1)/r!
Ω 0.12169670607494 Real period
R 1.7775141069048 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 36850q1 Quadratic twists by: 5


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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