Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330r |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
70920036000000 = 28 · 37 · 56 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-588339,-173548427] |
[a1,a2,a3,a4,a6] |
Generators |
[1862:71069:1] |
Generators of the group modulo torsion |
j |
30894382059213166129/97284000000 |
j-invariant |
L |
5.8822303729707 |
L(r)(E,1)/r! |
Ω |
0.17238230860197 |
Real period |
R |
2.8435972831275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110k1 |
Quadratic twists by: -3 |