Atkin-Lehner |
2+ 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110bi |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
7356201551424000000 = 212 · 36 · 56 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29586924,-61936265520] |
[a1,a2,a3,a4,a6] |
j |
3929123145025705846673089/10090811456000000 |
j-invariant |
L |
0.77679409439512 |
L(r)(E,1)/r! |
Ω |
0.064732840864092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790l1 |
Quadratic twists by: -3 |