Atkin-Lehner |
7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4403d |
Isogeny class |
Conductor |
4403 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-3667699 = -1 · 73 · 172 · 37 |
Discriminant |
Eigenvalues |
2 0 3 7- 1 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41,-137] |
[a1,a2,a3,a4,a6] |
j |
-7622111232/3667699 |
j-invariant |
L |
5.5329532211217 |
L(r)(E,1)/r! |
Ω |
0.92215887018695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70448l1 39627i1 110075b1 30821h1 |
Quadratic twists by: -4 -3 5 -7 |