Atkin-Lehner |
13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86411c |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1103362530200411 = -1 · 13 · 178 · 233 |
Discriminant |
Eigenvalues |
-2 1 1 4 3 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24950,-2211752] |
[a1,a2,a3,a4,a6] |
Generators |
[831180032:1409017725:4330747] |
Generators of the group modulo torsion |
j |
-71163817984/45711419 |
j-invariant |
L |
4.8107399294568 |
L(r)(E,1)/r! |
Ω |
0.18459069936311 |
Real period |
R |
13.030829664432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083c1 |
Quadratic twists by: 17 |