Atkin-Lehner |
2+ 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450m |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
-6253687582957020000 = -1 · 25 · 3 · 54 · 17 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3935375,-3008929275] |
[a1,a2,a3,a4,a6] |
j |
-10784555117105962374025/10005900132731232 |
j-invariant |
L |
0.32155117608989 |
L(r)(E,1)/r! |
Ω |
0.053591862677057 |
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 |
48450bt2 |
Quadratic twists by: 5 |