Atkin-Lehner |
11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34969k |
Isogeny class |
Conductor |
34969 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
226800 |
Modular degree for the optimal curve |
Δ |
-681446882699 = -1 · 119 · 172 |
Discriminant |
Eigenvalues |
-2 3 2 -2 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34969,-2517254] |
[a1,a2,a3,a4,a6] |
j |
-9236754432/1331 |
j-invariant |
L |
3.1420819388332 |
L(r)(E,1)/r! |
Ω |
0.17456010771175 |
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 |
3179f1 34969m1 |
Quadratic twists by: -11 17 |