Atkin-Lehner |
3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1035c |
Isogeny class |
Conductor |
1035 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-471571875 = -1 · 38 · 55 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -4 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6582,205537] |
[a1,a2,a3,a4,a6] |
Generators |
[37:112:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
2.2593977562893 |
L(r)(E,1)/r! |
Ω |
1.5200013538141 |
Real period |
R |
0.14864445683682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16560cd1 66240bf1 345a1 5175i1 |
Quadratic twists by: -4 8 -3 5 |