Atkin-Lehner |
2- 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648bi |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-1201007853301727232 = -1 · 216 · 38 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 6 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,260925,12180674] |
[a1,a2,a3,a4,a6] |
j |
657935488109375/402215100048 |
j-invariant |
L |
3.3696802173012 |
L(r)(E,1)/r! |
Ω |
0.16848399656842 |
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 |
14706j1 39216p1 |
Quadratic twists by: -4 -3 |