Atkin-Lehner |
2+ 3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310i |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
1400981312250000 = 24 · 33 · 56 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33204,1484928] |
[a1,a2,a3,a4,a6] |
j |
149947255343411163/51888196750000 |
j-invariant |
L |
1.7648104928152 |
L(r)(E,1)/r! |
Ω |
0.44120262311645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
50310bp3 |
Quadratic twists by: -3 |