Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bq |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-9.1457812817595E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13490926,19122436199] |
[a1,a2,a3,a4,a6] |
Generators |
[710297812006024:9121271088984645:389656830464] |
Generators of the group modulo torsion |
j |
-6729249553378150807/22664098606500 |
j-invariant |
L |
6.179331493408 |
L(r)(E,1)/r! |
Ω |
0.15798631510199 |
Real period |
R |
19.556540354204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cl1 95550er1 19110dh1 |
Quadratic twists by: -3 5 -7 |