Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905r |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-456711026784075 = -1 · 39 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -3 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11090,-1118482] |
[a1,a2,a3,a4,a6] |
j |
-3738308608/11317725 |
j-invariant |
L |
0.85974147307106 |
L(r)(E,1)/r! |
Ω |
0.21493536826776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715t1 84525cb1 16905v1 |
Quadratic twists by: -3 5 -7 |