Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300j |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-35059500000000 = -1 · 28 · 33 · 59 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3667,270537] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:3125:8] |
Generators of the group modulo torsion |
j |
10903552/70119 |
j-invariant |
L |
6.7910713952715 |
L(r)(E,1)/r! |
Ω |
0.47351517281252 |
Real period |
R |
3.5854560522502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300u1 |
Quadratic twists by: 5 |