Atkin-Lehner |
3- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725bl |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
18047636578125 = 37 · 56 · 7 · 11 · 193 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10858,-388181] |
[a1,a2,a3,a4,a6] |
j |
9061356040192/1155048741 |
j-invariant |
L |
3.3012956934106 |
L(r)(E,1)/r! |
Ω |
0.47161370107794 |
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 |
4389a1 |
Quadratic twists by: 5 |