Atkin-Lehner |
2- 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528bf |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-262194868518912 = -1 · 232 · 33 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14888,-338668] |
[a1,a2,a3,a4,a6] |
j |
89093018542247/64012419072 |
j-invariant |
L |
3.7265320165222 |
L(r)(E,1)/r! |
Ω |
0.31054435909259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566g1 |
Quadratic twists by: -4 |