Atkin-Lehner |
3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
35955f |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-773594296875 = -1 · 36 · 57 · 172 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 0 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,792,41438] |
[a1,a2,a3,a4,a6] |
Generators |
[12:229:1] |
Generators of the group modulo torsion |
j |
75365351424/1061171875 |
j-invariant |
L |
4.1162539642811 |
L(r)(E,1)/r! |
Ω |
0.66500160780935 |
Real period |
R |
1.5474601549613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995c1 |
Quadratic twists by: -3 |