Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550bb |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-1053830895468750 = -1 · 2 · 312 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9333,1520491] |
[a1,a2,a3,a4,a6] |
j |
7892485271/92517390 |
j-invariant |
L |
1.4511880956045 |
L(r)(E,1)/r! |
Ω |
0.36279694971455 |
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 |
38850bt1 23310bw1 |
Quadratic twists by: -3 5 |