Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752t |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-90182891518636032 = -1 · 212 · 34 · 437 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 5 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-571957,167308477] |
[a1,a2,a3,a4,a6] |
Generators |
[628:7443:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
6.9309132462873 |
L(r)(E,1)/r! |
Ω |
0.34104815093827 |
Real period |
R |
5.0805972957671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5547d1 2064m1 |
Quadratic twists by: -4 -43 |