Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960bd |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-15642891741102080 = -1 · 216 · 5 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231296,43159220] |
[a1,a2,a3,a4,a6] |
j |
-1182740881/13520 |
j-invariant |
L |
1.5771560456586 |
L(r)(E,1)/r! |
Ω |
0.3942890115398 |
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 |
6370p1 50960bh1 |
Quadratic twists by: -4 -7 |