Atkin-Lehner |
2+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152c |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
18746512 = 24 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 1 0 3 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288,-1969] |
[a1,a2,a3,a4,a6] |
j |
165686944000/1171657 |
j-invariant |
L |
3.4772201987137 |
L(r)(E,1)/r! |
Ω |
1.1590733995712 |
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 |
5576h1 44608bh1 100368t1 |
Quadratic twists by: -4 8 -3 |