Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110ce |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-1.2140177819936E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41633390,-103428611413] |
[a1,a2,a3,a4,a6] |
Generators |
[62141029207371755:5660243766645802909:5006354124043] |
Generators of the group modulo torsion |
j |
-28253264609835195889/4297784624640 |
j-invariant |
L |
7.3932347896775 |
L(r)(E,1)/r! |
Ω |
0.0297170128356 |
Real period |
R |
27.643105877799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330bm1 95550du1 19110cj1 |
Quadratic twists by: -3 5 -7 |