Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cl |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-38824574976 = -1 · 221 · 32 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- -6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4000,-96512] |
[a1,a2,a3,a4,a6] |
j |
-14284562281/78336 |
j-invariant |
L |
1.200226156629 |
L(r)(E,1)/r! |
Ω |
0.30005654754812 |
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 |
12342be1 98736bu1 |
Quadratic twists by: -4 -11 |