Atkin-Lehner |
5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49855c |
Isogeny class |
Conductor |
49855 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8297856 |
Modular degree for the optimal curve |
Δ |
-4.8597020716258E+24 |
Discriminant |
Eigenvalues |
1 -2 5- 1 -5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21069902,99317232003] |
[a1,a2,a3,a4,a6] |
j |
214314312209315595551/1006814661948671875 |
j-invariant |
L |
0.77321722688066 |
L(r)(E,1)/r! |
Ω |
0.055229801896814 |
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 |
3835a1 |
Quadratic twists by: 13 |