Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bq |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-14268800000000 = -1 · 213 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70240,7190912] |
[a1,a2,a3,a4,a6] |
Generators |
[-296:1400:1] [104:-1000:1] |
Generators of the group modulo torsion |
j |
-27279055902727/10156250 |
j-invariant |
L |
8.280540564463 |
L(r)(E,1)/r! |
Ω |
0.69093479936137 |
Real period |
R |
0.1872585465942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370u1 50960bc1 |
Quadratic twists by: -4 -7 |