Atkin-Lehner |
5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815i |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
342576 |
Modular degree for the optimal curve |
Δ |
-41594436296875 = -1 · 56 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-644611,-198987979] |
[a1,a2,a3,a4,a6] |
Generators |
[57843234369797014909201881:-5706490801218549529828148546:5901454058713825054717] |
Generators of the group modulo torsion |
j |
-251784668965666816/353546875 |
j-invariant |
L |
6.780383522242 |
L(r)(E,1)/r! |
Ω |
0.084245175278766 |
Real period |
R |
40.241969346053 |
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 |
935b1 |
Quadratic twists by: -7 |