Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600dg |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-85525504000 = -1 · 213 · 53 · 174 |
Discriminant |
Eigenvalues |
2- 2 5- -3 -3 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48648,-4113808] |
[a1,a2,a3,a4,a6] |
j |
-297756989/2 |
j-invariant |
L |
1.2858561800678 |
L(r)(E,1)/r! |
Ω |
0.16073201619241 |
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 |
14450p1 115600dh1 115600dc2 |
Quadratic twists by: -4 5 17 |