Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376o |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1463595127488 = -1 · 26 · 310 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -1 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1769,-65463] |
[a1,a2,a3,a4,a6] |
j |
-9571339399168/22868673867 |
j-invariant |
L |
3.4345558386632 |
L(r)(E,1)/r! |
Ω |
0.34345558402383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376bb1 1209a1 |
Quadratic twists by: -4 8 |