Atkin-Lehner |
5- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13585h |
Isogeny class |
Conductor |
13585 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
1071098524925 = 52 · 113 · 13 · 195 |
Discriminant |
Eigenvalues |
2 2 5- -1 11+ 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22140,-1259657] |
[a1,a2,a3,a4,a6] |
Generators |
[-42872:5159:512] |
Generators of the group modulo torsion |
j |
1200262333794144256/1071098524925 |
j-invariant |
L |
12.811391960501 |
L(r)(E,1)/r! |
Ω |
0.39140537250716 |
Real period |
R |
3.2731773400138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122265o1 67925k1 |
Quadratic twists by: -3 5 |