Atkin-Lehner |
3+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725j |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
-836433675 = -1 · 33 · 52 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-173,1703] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
-23037214720/33457347 |
j-invariant |
L |
3.2167482030008 |
L(r)(E,1)/r! |
Ω |
1.425802183612 |
Real period |
R |
0.37601618407242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725cj1 |
Quadratic twists by: 5 |