Atkin-Lehner |
2+ 3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240j |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-999908997120 = -1 · 211 · 39 · 5 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6080,190752] |
[a1,a2,a3,a4,a6] |
j |
-12138804743042/488236815 |
j-invariant |
L |
3.4854150319623 |
L(r)(E,1)/r! |
Ω |
0.87135376973089 |
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 |
54120p1 |
Quadratic twists by: -4 |