Atkin-Lehner |
2- 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528s |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1208320 |
Modular degree for the optimal curve |
Δ |
-923441171397341184 = -1 · 212 · 35 · 7 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-434672,119746560] |
[a1,a2,a3,a4,a6] |
Generators |
[-183954160:-2879153984:274625] |
Generators of the group modulo torsion |
j |
-2217429186346572913/225449504735679 |
j-invariant |
L |
7.6140068770535 |
L(r)(E,1)/r! |
Ω |
0.27260135282365 |
Real period |
R |
13.96546047947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783c1 |
Quadratic twists by: -4 |