Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475k |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
129509765625 = 3 · 59 · 23 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4751,-125227] |
[a1,a2,a3,a4,a6] |
Generators |
[198029:834387:2197] |
Generators of the group modulo torsion |
j |
758800078561/8288625 |
j-invariant |
L |
9.6529785443253 |
L(r)(E,1)/r! |
Ω |
0.57544109447043 |
Real period |
R |
8.3874601910263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695b1 |
Quadratic twists by: 5 |