Atkin-Lehner |
5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67925j |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
41736728515625 = 510 · 113 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 11+ 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10463,-271208] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:2777:8] |
Generators of the group modulo torsion |
j |
8107275964969/2671150625 |
j-invariant |
L |
2.9540303658629 |
L(r)(E,1)/r! |
Ω |
0.48449091243056 |
Real period |
R |
3.0485921298908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13585e1 |
Quadratic twists by: 5 |