Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800bs |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-80963755200000000 = -1 · 212 · 33 · 58 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130333,22746037] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:5476:1] |
Generators of the group modulo torsion |
j |
-153027765760/50602347 |
j-invariant |
L |
5.6457848863788 |
L(r)(E,1)/r! |
Ω |
0.32331754795474 |
Real period |
R |
1.4551702386529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800x1 88800s1 |
Quadratic twists by: -4 5 |