Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cs |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
54430007063520 = 25 · 3 · 5 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11- 1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33580,-2344528] |
[a1,a2,a3,a4,a6] |
j |
19535526241/253920 |
j-invariant |
L |
10.588686333488 |
L(r)(E,1)/r! |
Ω |
0.35295621203194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490bh1 |
Quadratic twists by: -11 |