Atkin-Lehner |
17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23273c |
Isogeny class |
Conductor |
23273 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
300960 |
Modular degree for the optimal curve |
Δ |
-3024599570250827021 = -1 · 17 · 3711 |
Discriminant |
Eigenvalues |
1 0 -3 -1 -5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-233671,94353726] |
[a1,a2,a3,a4,a6] |
Generators |
[502:9916:1] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
2.9904018373357 |
L(r)(E,1)/r! |
Ω |
0.22500602698399 |
Real period |
R |
6.6451594151042 |
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 |
629d1 |
Quadratic twists by: 37 |