Atkin-Lehner |
3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53475o |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-2393464798125 = -1 · 35 · 54 · 232 · 313 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,362,74417] |
[a1,a2,a3,a4,a6] |
Generators |
[32:329:1] [101:1019:1] |
Generators of the group modulo torsion |
j |
8392559375/3829543677 |
j-invariant |
L |
6.8705753553608 |
L(r)(E,1)/r! |
Ω |
0.63498664171965 |
Real period |
R |
0.12022257029528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53475g1 |
Quadratic twists by: 5 |