Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17157h |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
353600 |
Modular degree for the optimal curve |
Δ |
1.582148426342E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-871987,248124809] |
[a1,a2,a3,a4,a6] |
Generators |
[901:13481:1] |
Generators of the group modulo torsion |
j |
73325161316667048071977/15821484263419841937 |
j-invariant |
L |
5.4870697205908 |
L(r)(E,1)/r! |
Ω |
0.20834652210188 |
Real period |
R |
2.0258667240574 |
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 |
51471h1 120099b1 |
Quadratic twists by: -3 -7 |