Atkin-Lehner |
3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13509a |
Isogeny class |
Conductor |
13509 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-33490212006380499 = -1 · 324 · 19 · 792 |
Discriminant |
Eigenvalues |
0 3- 3 -3 -5 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,38004,8330179] |
[a1,a2,a3,a4,a6] |
j |
8326914628124672/45939934165131 |
j-invariant |
L |
1.0637567293331 |
L(r)(E,1)/r! |
Ω |
0.26593918233326 |
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 |
4503a1 |
Quadratic twists by: -3 |