Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350fd |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-2131242347520000 = -1 · 213 · 37 · 54 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32170,23397] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-1005:1] |
Generators of the group modulo torsion |
j |
8081314441175/4677623808 |
j-invariant |
L |
10.86554567574 |
L(r)(E,1)/r! |
Ω |
0.27739429749678 |
Real period |
R |
0.1255449993906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450m1 64350bp1 |
Quadratic twists by: -3 5 |