Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045i |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-734815927983571335 = -1 · 32 · 5 · 1114 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-585642,-177608889] |
[a1,a2,a3,a4,a6] |
j |
-12539072261612161/414784434735 |
j-invariant |
L |
0.68898050849052 |
L(r)(E,1)/r! |
Ω |
0.086122561639608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7095c1 |
Quadratic twists by: -11 |