Atkin-Lehner |
3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591o |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-11091577640093181 = -1 · 314 · 7 · 117 · 17 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 11- -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-850532,-301744308] |
[a1,a2,a3,a4,a6] |
j |
-52687982361169/8588349 |
j-invariant |
L |
0.3144135763453 |
L(r)(E,1)/r! |
Ω |
0.07860364532433 |
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 |
43197b1 11781g1 |
Quadratic twists by: -3 -11 |