Atkin-Lehner |
2+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9898a |
Isogeny class |
Conductor |
9898 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12852 |
Modular degree for the optimal curve |
Δ |
-1557469462528 = -1 · 217 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,187,59989] |
[a1,a2,a3,a4,a6] |
j |
6128487/13238272 |
j-invariant |
L |
0.66383126790711 |
L(r)(E,1)/r! |
Ω |
0.66383126790711 |
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 |
79184s1 89082bo1 202a1 |
Quadratic twists by: -4 -3 -7 |