Atkin-Lehner |
2+ 3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110a |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-6333617738250 = -1 · 2 · 33 · 53 · 113 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2145,-115425] |
[a1,a2,a3,a4,a6] |
Generators |
[633:15639:1] |
Generators of the group modulo torsion |
j |
40413637733013/234578434750 |
j-invariant |
L |
3.2797404352926 |
L(r)(E,1)/r! |
Ω |
0.37709942176789 |
Real period |
R |
4.3486415566321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007101 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88110bw2 |
Quadratic twists by: -3 |