Atkin-Lehner |
2- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350v |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-7562442309632000 = -1 · 223 · 53 · 7 · 1013 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 0 -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1965,-4184333] |
[a1,a2,a3,a4,a6] |
j |
6715966920363/60499538477056 |
j-invariant |
L |
8.8691390489957 |
L(r)(E,1)/r! |
Ω |
0.19280737063058 |
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 |
35350m1 |
Quadratic twists by: 5 |