Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cp |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
11579436 = 22 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,155] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:19:1] |
Generators of the group modulo torsion |
j |
130321/44 |
j-invariant |
L |
7.5432328154611 |
L(r)(E,1)/r! |
Ω |
2.0843349677772 |
Real period |
R |
0.90475294654468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942e1 71478v1 |
Quadratic twists by: -3 -19 |