Atkin-Lehner |
2+ 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920v |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
376832 |
Modular degree for the optimal curve |
Δ |
6236100000000 = 28 · 32 · 58 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21620,-1224900] |
[a1,a2,a3,a4,a6] |
j |
4365871038550096/24359765625 |
j-invariant |
L |
6.3015858148138 |
L(r)(E,1)/r! |
Ω |
0.39384910749313 |
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 |
63960m1 |
Quadratic twists by: -4 |