Atkin-Lehner |
3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005c |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-642165563671875 = -1 · 39 · 58 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 2 -7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19020,-688249] |
[a1,a2,a3,a4,a6] |
j |
462866157/390625 |
j-invariant |
L |
1.1318550542168 |
L(r)(E,1)/r! |
Ω |
0.28296376355421 |
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 |
13005f1 65025s1 13005d1 |
Quadratic twists by: -3 5 17 |