Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9898c |
Isogeny class |
Conductor |
9898 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-37263673664 = -1 · 26 · 78 · 101 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 0 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,636,6992] |
[a1,a2,a3,a4,a6] |
j |
4934783/6464 |
j-invariant |
L |
6.2193666422632 |
L(r)(E,1)/r! |
Ω |
0.7774208302829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
79184o1 89082k1 9898g1 |
Quadratic twists by: -4 -3 -7 |