Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400bm |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4585845555200 = -1 · 217 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2808,116948] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:-416:1] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
6.2540779364503 |
L(r)(E,1)/r! |
Ω |
0.6901765755799 |
Real period |
R |
0.28317381729426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550i1 36400cr1 |
Quadratic twists by: -4 5 |