Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434o |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2617444710144 = -1 · 28 · 313 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3735,-116451] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1506:1] |
Generators of the group modulo torsion |
j |
-65335322041/29673216 |
j-invariant |
L |
5.2474474882885 |
L(r)(E,1)/r! |
Ω |
0.2987962877662 |
Real period |
R |
2.1952446049482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999594279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478m1 115434bo1 |
Quadratic twists by: -3 -11 |