Atkin-Lehner |
2- 3- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518y |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-1312409952 = -1 · 25 · 38 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1724,-27169] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1207:1] |
Generators of the group modulo torsion |
j |
-776911912057/1800288 |
j-invariant |
L |
12.355215070496 |
L(r)(E,1)/r! |
Ω |
0.37042017500292 |
Real period |
R |
3.3354595372521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506h1 |
Quadratic twists by: -3 |