Atkin-Lehner |
3+ 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
63495b |
Isogeny class |
Conductor |
63495 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40768 |
Modular degree for the optimal curve |
Δ |
-2976328125 = -1 · 33 · 57 · 17 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -6 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-788,-8708] |
[a1,a2,a3,a4,a6] |
j |
-2001805180227/110234375 |
j-invariant |
L |
0.89830473460812 |
L(r)(E,1)/r! |
Ω |
0.44915236457683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63495e1 |
Quadratic twists by: -3 |