Atkin-Lehner |
3+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725v |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-50404921875 = -1 · 32 · 57 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11758,-486957] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:9071:8] |
Generators of the group modulo torsion |
j |
-11506440318976/3225915 |
j-invariant |
L |
12.655353352828 |
L(r)(E,1)/r! |
Ω |
0.22923230053351 |
Real period |
R |
4.6006290462694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945z1 |
Quadratic twists by: 5 |