Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136bi |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-691683924672 = -1 · 26 · 311 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2175,-8764] |
[a1,a2,a3,a4,a6] |
Generators |
[17:182:1] [79:810:1] |
Generators of the group modulo torsion |
j |
24389000000/14825187 |
j-invariant |
L |
10.473233501158 |
L(r)(E,1)/r! |
Ω |
0.52534032158838 |
Real period |
R |
2.4920116234092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136o1 23712d1 |
Quadratic twists by: -4 -3 |