Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925o |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-3509736328125 = -1 · 36 · 510 · 17 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 2 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,90166] |
[a1,a2,a3,a4,a6] |
j |
-25/493 |
j-invariant |
L |
5.055765727255 |
L(r)(E,1)/r! |
Ω |
0.63197068161463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12325f1 110925bz1 |
Quadratic twists by: -3 5 |