Atkin-Lehner |
3- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bw |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
63500943515625 = 34 · 57 · 7 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19251,952273] |
[a1,a2,a3,a4,a6] |
j |
50492995771681/4064060385 |
j-invariant |
L |
4.8571640965161 |
L(r)(E,1)/r! |
Ω |
0.60714550061807 |
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 |
21945h1 |
Quadratic twists by: 5 |