Atkin-Lehner |
2- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440x |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-8.7843793579016E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -6 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1639133,1175152674] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:28290:1] |
Generators of the group modulo torsion |
j |
118906705297570472199/214462386667520000 |
j-invariant |
L |
5.9316040528347 |
L(r)(E,1)/r! |
Ω |
0.10841829111253 |
Real period |
R |
2.279598454802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430d1 |
Quadratic twists by: -4 |