Atkin-Lehner |
3- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835w |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
858826199385 = 36 · 5 · 7 · 116 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4118,92436] |
[a1,a2,a3,a4,a6] |
Generators |
[48:36:1] [27:6:1] |
Generators of the group modulo torsion |
j |
10591472326681/1178088065 |
j-invariant |
L |
6.470221928327 |
L(r)(E,1)/r! |
Ω |
0.86125002150444 |
Real period |
R |
2.5041980713141 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315d1 |
Quadratic twists by: -3 |