Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736dh |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
524750540688 = 24 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87402,9916443] |
[a1,a2,a3,a4,a6] |
Generators |
[10788:2541:64] |
Generators of the group modulo torsion |
j |
21529370368/153 |
j-invariant |
L |
11.184626622637 |
L(r)(E,1)/r! |
Ω |
0.82913226914952 |
Real period |
R |
2.2482594208045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684e1 98736cz1 |
Quadratic twists by: -4 -11 |