Atkin-Lehner |
2- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55900f |
Isogeny class |
Conductor |
55900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
800640 |
Modular degree for the optimal curve |
Δ |
-122812300000000 = -1 · 28 · 58 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4212333,3329012537] |
[a1,a2,a3,a4,a6] |
j |
-82659334506618880/1228123 |
j-invariant |
L |
2.5090319813343 |
L(r)(E,1)/r! |
Ω |
0.41817199645134 |
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 |
55900d1 |
Quadratic twists by: 5 |