Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019m |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2527200 |
Modular degree for the optimal curve |
Δ |
-2025500214907162539 = -1 · 35 · 73 · 138 · 313 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- 4 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,109118,67017186] |
[a1,a2,a3,a4,a6] |
j |
176141668352/2483050059 |
j-invariant |
L |
1.7467974831833 |
L(r)(E,1)/r! |
Ω |
0.19408857184298 |
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 |
110019i1 |
Quadratic twists by: 13 |