Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285r |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
20984832 |
Modular degree for the optimal curve |
Δ |
-2.414116312927E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-222621891,-1280755406824] |
[a1,a2,a3,a4,a6] |
j |
-8242525516078490484736/16307642215915875 |
j-invariant |
L |
2.8137699687254 |
L(r)(E,1)/r! |
Ω |
0.019540069404403 |
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 |
3795i1 |
Quadratic twists by: -23 |