Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575u |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-4.6772795144762E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5494505,-11524453878] |
[a1,a2,a3,a4,a6] |
j |
-1610503980214409281/4106253620390625 |
j-invariant |
L |
0.36710363639074 |
L(r)(E,1)/r! |
Ω |
0.04588794577212 |
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 |
30525i1 18315j1 |
Quadratic twists by: -3 5 |