Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904cw |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
116643141255168 = 224 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34977,-2475297] |
[a1,a2,a3,a4,a6] |
j |
18052771191337/444958272 |
j-invariant |
L |
4.8947829523947 |
L(r)(E,1)/r! |
Ω |
0.34962735374373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904f1 8976p1 107712dz1 |
Quadratic twists by: -4 8 -3 |