Atkin-Lehner |
2- 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53088r |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-116722152698425344 = -1 · 212 · 33 · 73 · 795 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96851,-11612581] |
[a1,a2,a3,a4,a6] |
j |
24528534860676608/28496619311139 |
j-invariant |
L |
5.3601232823889 |
L(r)(E,1)/r! |
Ω |
0.17867077611648 |
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 |
53088l1 106176bl1 |
Quadratic twists by: -4 8 |