Atkin-Lehner |
3- 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275l |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
176289697265625 = 34 · 511 · 292 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88438,-10110133] |
[a1,a2,a3,a4,a6] |
j |
4895766888629401/11282540625 |
j-invariant |
L |
1.1075416061652 |
L(r)(E,1)/r! |
Ω |
0.27688532584981 |
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 |
23055d1 |
Quadratic twists by: 5 |