Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320ba |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
16879990400000 = 210 · 55 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15240,-691588] |
[a1,a2,a3,a4,a6] |
j |
174011157652/7503125 |
j-invariant |
L |
4.3083055794625 |
L(r)(E,1)/r! |
Ω |
0.43083055792644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bl1 47320j1 |
Quadratic twists by: -4 13 |