Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bf |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-2.5725940105934E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,702807,-90123336] |
[a1,a2,a3,a4,a6] |
j |
1305034698752/874503125 |
j-invariant |
L |
0.96320087166345 |
L(r)(E,1)/r! |
Ω |
0.12040010881692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635f1 50715bv1 |
Quadratic twists by: -3 -7 |