Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bj |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-94720000000 = -1 · 215 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 -5 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,28863] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:200:1] [-7:200:1] |
Generators of the group modulo torsion |
j |
-941192/185 |
j-invariant |
L |
5.229219100776 |
L(r)(E,1)/r! |
Ω |
1.0248310407129 |
Real period |
R |
0.31890739138013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bd1 29600a1 11840l1 |
Quadratic twists by: -4 8 5 |