Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800b |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1466390889974476800 = -1 · 212 · 321 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,282467,7360117] |
[a1,a2,a3,a4,a6] |
Generators |
[56136:3223403:512] |
Generators of the group modulo torsion |
j |
24340268816960000/14320223534907 |
j-invariant |
L |
5.7172435291361 |
L(r)(E,1)/r! |
Ω |
0.16338463992796 |
Real period |
R |
8.7481349721869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800by1 88800cn1 |
Quadratic twists by: -4 5 |