Atkin-Lehner |
3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105525bc |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
12826629703125 = 36 · 56 · 75 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 1 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17892,909391] |
[a1,a2,a3,a4,a6] |
j |
55611739513/1126069 |
j-invariant |
L |
3.5494937603126 |
L(r)(E,1)/r! |
Ω |
0.70989885999706 |
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 |
11725c1 4221b1 |
Quadratic twists by: -3 5 |