Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350o |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-2346500000 = -1 · 25 · 56 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,312,992] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
214921799/150176 |
j-invariant |
L |
8.330474154831 |
L(r)(E,1)/r! |
Ω |
0.92031396546622 |
Real period |
R |
0.90517741416767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800cc1 111150bk1 494a1 |
Quadratic twists by: -4 -3 5 |