Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040bo |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-7793511552000 = -1 · 210 · 36 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-134674] |
[a1,a2,a3,a4,a6] |
j |
-1156/125 |
j-invariant |
L |
1.9671762420212 |
L(r)(E,1)/r! |
Ω |
0.32786269715823 |
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 |
11560h1 104040o1 |
Quadratic twists by: -3 17 |