Atkin-Lehner |
5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47275a |
Isogeny class |
Conductor |
47275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-880230953125 = -1 · 56 · 314 · 61 |
Discriminant |
Eigenvalues |
1 -2 5+ 3 3 -5 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1295801,-567855627] |
[a1,a2,a3,a4,a6] |
Generators |
[360688639744662729136945:-14160054142019166902478313:163501766672269823875] |
Generators of the group modulo torsion |
j |
-15399908364408365953/56334781 |
j-invariant |
L |
5.5170017530945 |
L(r)(E,1)/r! |
Ω |
0.070751397304174 |
Real period |
R |
38.988641661562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1891b1 |
Quadratic twists by: 5 |