Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
88880b |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-36266595200000 = -1 · 210 · 55 · 11 · 1013 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 11+ 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-883,-289918] |
[a1,a2,a3,a4,a6] |
Generators |
[114843:7489684:27] |
Generators of the group modulo torsion |
j |
-74354261796/35416596875 |
j-invariant |
L |
11.137237901747 |
L(r)(E,1)/r! |
Ω |
0.29238449023657 |
Real period |
R |
9.5227673500567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44440e1 |
Quadratic twists by: -4 |