Atkin-Lehner |
5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52855a |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
208320 |
Modular degree for the optimal curve |
Δ |
-234545035296275 = -1 · 52 · 11 · 318 |
Discriminant |
Eigenvalues |
0 1 5+ 2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-337631,75402400] |
[a1,a2,a3,a4,a6] |
Generators |
[1269364312:2975398101:3511808] |
Generators of the group modulo torsion |
j |
-4990664704/275 |
j-invariant |
L |
4.9297345132781 |
L(r)(E,1)/r! |
Ω |
0.52685449123399 |
Real period |
R |
14.035377685837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52855c1 |
Quadratic twists by: -31 |