Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bs |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
19619600000000 = 210 · 58 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24213,1432417] |
[a1,a2,a3,a4,a6] |
Generators |
[42:679:1] |
Generators of the group modulo torsion |
j |
100473287628169/1255654400 |
j-invariant |
L |
6.3516329959376 |
L(r)(E,1)/r! |
Ω |
0.68765177958981 |
Real period |
R |
0.30788999047088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010b1 |
Quadratic twists by: 5 |