Atkin-Lehner |
3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785bb |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
1269674447023125 = 36 · 54 · 118 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-264287,-52200926] |
[a1,a2,a3,a4,a6] |
j |
13064132169/8125 |
j-invariant |
L |
0.84228087318228 |
L(r)(E,1)/r! |
Ω |
0.21057021727017 |
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 |
7865a1 70785be1 |
Quadratic twists by: -3 -11 |