Atkin-Lehner |
5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4225c |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
612778486328125 = 510 · 137 |
Discriminant |
Eigenvalues |
2 -1 5+ 2 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2147708,-1210749057] |
[a1,a2,a3,a4,a6] |
Generators |
[-17787989964:-423824941:21024576] |
Generators of the group modulo torsion |
j |
23242854400/13 |
j-invariant |
L |
5.9532916615411 |
L(r)(E,1)/r! |
Ω |
0.12471128200161 |
Real period |
R |
11.934148150013 |
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 |
67600bq2 38025br2 4225i1 325e2 |
Quadratic twists by: -4 -3 5 13 |