Atkin-Lehner |
3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475c |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
8121515625 = 36 · 56 · 23 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270725,54105000] |
[a1,a2,a3,a4,a6] |
j |
140440148435570257/519777 |
j-invariant |
L |
0.87682498142369 |
L(r)(E,1)/r! |
Ω |
0.87682498219925 |
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 |
2139c1 |
Quadratic twists by: 5 |