Atkin-Lehner |
11- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98857a |
Isogeny class |
Conductor |
98857 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1566000 |
Modular degree for the optimal curve |
Δ |
-94016827168517803 = -1 · 116 · 192 · 435 |
Discriminant |
Eigenvalues |
0 -2 -2 -4 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2014569,-1101349947] |
[a1,a2,a3,a4,a6] |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
0.50688750328425 |
L(r)(E,1)/r! |
Ω |
0.06336089382187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
817b1 |
Quadratic twists by: -11 |