Atkin-Lehner |
3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909a |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
394624122500663937 = 36 · 72 · 737 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-349160,-73580997] |
[a1,a2,a3,a4,a6] |
Generators |
[-341621042:-483931735:1295029] |
Generators of the group modulo torsion |
j |
31107273625/2607633 |
j-invariant |
L |
3.9721087101562 |
L(r)(E,1)/r! |
Ω |
0.19744845494629 |
Real period |
R |
10.058596591956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1533a1 |
Quadratic twists by: 73 |