Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680bb |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26265600 |
Modular degree for the optimal curve |
Δ |
4.5388822913399E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1215113416,16303622784496] |
[a1,a2,a3,a4,a6] |
j |
48441124061138257597391458249/1108125559409156640 |
j-invariant |
L |
0.99712221779341 |
L(r)(E,1)/r! |
Ω |
0.099712204733309 |
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 |
12210l1 |
Quadratic twists by: -4 |