Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25080x |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4730743230048000 = -1 · 28 · 312 · 53 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116820,15681600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-3960:1] |
Generators of the group modulo torsion |
j |
-688714251920354896/18479465742375 |
j-invariant |
L |
6.1138685025181 |
L(r)(E,1)/r! |
Ω |
0.43273477456193 |
Real period |
R |
0.39245674396615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50160i1 75240h1 125400m1 |
Quadratic twists by: -4 -3 5 |