Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200x |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,2213] |
[a1,a2,a3,a4,a6] |
Generators |
[4:31:1] [28:125:1] |
Generators of the group modulo torsion |
j |
4096000/37 |
j-invariant |
L |
11.324487481567 |
L(r)(E,1)/r! |
Ω |
2.0653245095112 |
Real period |
R |
2.7415758224494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cv1 925b1 2368c1 |
Quadratic twists by: -4 8 5 |