Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bs |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
987840 |
Modular degree for the optimal curve |
Δ |
1904275905328125 = 36 · 56 · 78 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 2 -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-37158,1774469] |
[a1,a2,a3,a4,a6] |
j |
62992384/21141 |
j-invariant |
L |
2.5860195052683 |
L(r)(E,1)/r! |
Ω |
0.43100331212728 |
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 |
4263a1 106575h1 |
Quadratic twists by: 5 -7 |