Atkin-Lehner |
3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337r |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5519360 |
Modular degree for the optimal curve |
Δ |
-3.8663310566882E+24 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,27578245,76429012394] |
[a1,a2,a3,a4,a6] |
Generators |
[435006:-287146436:1] |
Generators of the group modulo torsion |
j |
3181969957761250582484375/5303609131259500019847 |
j-invariant |
L |
3.9367942359783 |
L(r)(E,1)/r! |
Ω |
0.053635943308334 |
Real period |
R |
1.8349608458247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779l1 |
Quadratic twists by: -3 |