Atkin-Lehner |
3- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725br |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-10082013046875 = -1 · 36 · 57 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2408,158594] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:-413:1] |
Generators of the group modulo torsion |
j |
-98867482624/645248835 |
j-invariant |
L |
3.7887609838934 |
L(r)(E,1)/r! |
Ω |
0.62396556342804 |
Real period |
R |
0.084334269243795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945f1 |
Quadratic twists by: 5 |