Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800bx |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-208125000000000 = -1 · 29 · 32 · 513 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 -6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21408,-1398312] |
[a1,a2,a3,a4,a6] |
Generators |
[282:3882:1] |
Generators of the group modulo torsion |
j |
-135638288072/26015625 |
j-invariant |
L |
7.2962108243728 |
L(r)(E,1)/r! |
Ω |
0.19531761441884 |
Real period |
R |
4.6694526528871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800a1 17760c1 |
Quadratic twists by: -4 5 |