Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200h |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
9472000000 = 214 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -1 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-933,10237] |
[a1,a2,a3,a4,a6] |
Generators |
[12:25:1] |
Generators of the group modulo torsion |
j |
351232/37 |
j-invariant |
L |
3.7040459874639 |
L(r)(E,1)/r! |
Ω |
1.2559162159549 |
Real period |
R |
1.4746389689077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bz1 7400h1 2368f1 |
Quadratic twists by: -4 8 5 |