Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562n |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-89255481937776 = -1 · 24 · 318 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6048,-487760] |
[a1,a2,a3,a4,a6] |
j |
-33563861678593/122435503344 |
j-invariant |
L |
0.99221836253756 |
L(r)(E,1)/r! |
Ω |
0.2480545906344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854m1 |
Quadratic twists by: -3 |