Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6448n |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-17711010676736 = -1 · 223 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3 1 3 0 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5093,146378] |
[a1,a2,a3,a4,a6] |
j |
3566849562639/4323977216 |
j-invariant |
L |
5.5503438443014 |
L(r)(E,1)/r! |
Ω |
0.46252865369178 |
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 |
806d1 25792bd1 58032bo1 83824v1 |
Quadratic twists by: -4 8 -3 13 |