Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510d |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
34941753000000 = 26 · 33 · 56 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-525975,-146691875] |
[a1,a2,a3,a4,a6] |
j |
5066026756449723/11000000 |
j-invariant |
L |
0.70911763825735 |
L(r)(E,1)/r! |
Ω |
0.17727940971298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510cj3 990b1 |
Quadratic twists by: -3 -7 |