Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bx |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
14684160 |
Modular degree for the optimal curve |
Δ |
-2.655293942848E+23 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42544047,109648224670] |
[a1,a2,a3,a4,a6] |
Generators |
[53593:12319087:1] |
Generators of the group modulo torsion |
j |
-238405627771890579460096/7433425555969921875 |
j-invariant |
L |
3.3134524769174 |
L(r)(E,1)/r! |
Ω |
0.097652524283747 |
Real period |
R |
0.13254315577504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905e1 50715j1 |
Quadratic twists by: -3 -7 |