Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850br |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-51726924000000000 = -1 · 211 · 311 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 2 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58505,-12208503] |
[a1,a2,a3,a4,a6] |
Generators |
[1199:39900:1] |
Generators of the group modulo torsion |
j |
-1944232280641/4541184000 |
j-invariant |
L |
10.558695529003 |
L(r)(E,1)/r! |
Ω |
0.14335676407029 |
Real period |
R |
0.41848453138602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950d1 6570h1 |
Quadratic twists by: -3 5 |