Atkin-Lehner |
3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70785z |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-169943385385151235 = -1 · 38 · 5 · 119 · 133 |
Discriminant |
Eigenvalues |
2 3- 5- -4 11+ 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-235587,48275037] |
[a1,a2,a3,a4,a6] |
j |
-841232384/98865 |
j-invariant |
L |
3.7540181499168 |
L(r)(E,1)/r! |
Ω |
0.31283484687851 |
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 |
23595l1 70785y1 |
Quadratic twists by: -3 -11 |