Atkin-Lehner |
3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525l |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-366072022265625 = -1 · 33 · 58 · 132 · 593 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9263,981642] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2124:1] [-98:1024:1] |
Generators of the group modulo torsion |
j |
-225020248465/937144377 |
j-invariant |
L |
6.5081772056638 |
L(r)(E,1)/r! |
Ω |
0.46797297394474 |
Real period |
R |
0.25754008631945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57525e1 |
Quadratic twists by: 5 |