Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600w |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
754299031250000 = 24 · 59 · 176 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24083,576662] |
[a1,a2,a3,a4,a6] |
j |
2048 |
j-invariant |
L |
4.0431721297108 |
L(r)(E,1)/r! |
Ω |
0.44924149169285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57800p1 115600y1 400f1 |
Quadratic twists by: -4 5 17 |