Atkin-Lehner |
2- 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410be |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-8477197196310000 = -1 · 24 · 38 · 54 · 192 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50008,-1059109] |
[a1,a2,a3,a4,a6] |
j |
18972422313183431/11628528390000 |
j-invariant |
L |
7.6540378677 |
L(r)(E,1)/r! |
Ω |
0.23918875571691 |
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 |
40470s1 |
Quadratic twists by: -3 |