Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cx |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-79311700000000 = -1 · 28 · 58 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 1 3 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6708,-475588] |
[a1,a2,a3,a4,a6] |
j |
-333862480/793117 |
j-invariant |
L |
4.4314086278443 |
L(r)(E,1)/r! |
Ω |
0.24618937450009 |
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 |
24700r1 98800bl1 |
Quadratic twists by: -4 5 |