Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448b |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1047715347888 = -1 · 24 · 33 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403,49480] |
[a1,a2,a3,a4,a6] |
Generators |
[696:6364:27] |
Generators of the group modulo torsion |
j |
-256000/36963 |
j-invariant |
L |
6.4744593241727 |
L(r)(E,1)/r! |
Ω |
0.71614417596553 |
Real period |
R |
4.5203602390437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
888c1 |
Quadratic twists by: -11 |