Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490bi |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
54002278800 = 24 · 39 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2633,-50119] |
[a1,a2,a3,a4,a6] |
Generators |
[81:472:1] |
Generators of the group modulo torsion |
j |
403583419/10800 |
j-invariant |
L |
8.4157540590154 |
L(r)(E,1)/r! |
Ω |
0.66758897997103 |
Real period |
R |
0.78788692514259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830n1 32490h1 |
Quadratic twists by: -3 -19 |