Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150ce |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
1.0548064636808E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11- -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2586438,-349841469] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:30527:1] |
Generators of the group modulo torsion |
j |
571305535801/314928000 |
j-invariant |
L |
5.0035649876975 |
L(r)(E,1)/r! |
Ω |
0.12738530284482 |
Real period |
R |
0.46760692578566 |
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 |
54450cr1 3630m1 18150o1 |
Quadratic twists by: -3 5 -11 |