Atkin-Lehner |
5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35035i |
Isogeny class |
Conductor |
35035 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
661248 |
Modular degree for the optimal curve |
Δ |
-2036972561187408845 = -1 · 5 · 78 · 114 · 136 |
Discriminant |
Eigenvalues |
-1 1 5- 7+ 11+ 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-742645,-255785258] |
[a1,a2,a3,a4,a6] |
j |
-7857478707812881/353346552845 |
j-invariant |
L |
0.97323044176844 |
L(r)(E,1)/r! |
Ω |
0.081102536813774 |
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 |
35035d1 |
Quadratic twists by: -7 |