Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cu |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
4429021775659008 = 218 · 3 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-379496,-89799312] |
[a1,a2,a3,a4,a6] |
j |
832972004929/610368 |
j-invariant |
L |
3.077774294834 |
L(r)(E,1)/r! |
Ω |
0.19236088279928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342r1 8976q1 |
Quadratic twists by: -4 -11 |