Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25740d |
Isogeny class |
Conductor |
25740 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-9879488190000 = -1 · 24 · 312 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3552,127397] |
[a1,a2,a3,a4,a6] |
j |
424908161024/847006875 |
j-invariant |
L |
2.0044931583029 |
L(r)(E,1)/r! |
Ω |
0.50112328957582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960cw1 8580b1 128700ba1 |
Quadratic twists by: -4 -3 5 |