Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562x |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
57955168656 = 24 · 33 · 72 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171089,27281073] |
[a1,a2,a3,a4,a6] |
Generators |
[237:-64:1] |
Generators of the group modulo torsion |
j |
20512747394037931059/2146487728 |
j-invariant |
L |
9.6660318420281 |
L(r)(E,1)/r! |
Ω |
0.85856553228858 |
Real period |
R |
0.56291753386969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23562b1 |
Quadratic twists by: -3 |