Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700o |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40808448 |
Modular degree for the optimal curve |
Δ |
-2.7398567877734E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3225192658,-70499856025187] |
[a1,a2,a3,a4,a6] |
j |
-126142795384287538429696/9315359375 |
j-invariant |
L |
1.0818184385744 |
L(r)(E,1)/r! |
Ω |
0.01001683784535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540f1 16100c1 |
Quadratic twists by: 5 -7 |