Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55900a |
Isogeny class |
Conductor |
55900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-46508800 = -1 · 28 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,343] |
[a1,a2,a3,a4,a6] |
Generators |
[9:26:1] |
Generators of the group modulo torsion |
j |
-2621440/7267 |
j-invariant |
L |
4.180543568658 |
L(r)(E,1)/r! |
Ω |
1.7779368869944 |
Real period |
R |
0.39189088575157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55900g1 |
Quadratic twists by: 5 |