Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600m |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-12643750000 = -1 · 24 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 5 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,5463] |
[a1,a2,a3,a4,a6] |
j |
-160000/2023 |
j-invariant |
L |
2.1453514000925 |
L(r)(E,1)/r! |
Ω |
1.0726756999591 |
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 |
23800k1 47600b1 |
Quadratic twists by: -4 5 |