Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110q |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-133817062500 = -1 · 22 · 37 · 56 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-426150,-106969464] |
[a1,a2,a3,a4,a6] |
Generators |
[6538:522606:1] |
Generators of the group modulo torsion |
j |
-11740436269218338401/183562500 |
j-invariant |
L |
4.5448552758378 |
L(r)(E,1)/r! |
Ω |
0.093428394880546 |
Real period |
R |
6.0806664887993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370bm1 |
Quadratic twists by: -3 |