Atkin-Lehner |
3- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118575n |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-486738100634765625 = -1 · 39 · 511 · 17 · 313 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -5 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70542,-34314759] |
[a1,a2,a3,a4,a6] |
j |
-3408183162649/42731465625 |
j-invariant |
L |
3.0196066214015 |
L(r)(E,1)/r! |
Ω |
0.12581696803242 |
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 |
39525c1 23715j1 |
Quadratic twists by: -3 5 |