Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3525f |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1825013671875 = -1 · 32 · 59 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -6 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2033,-73282] |
[a1,a2,a3,a4,a6] |
Generators |
[62:187:1] [716:-19106:1] |
Generators of the group modulo torsion |
j |
-59501707264/116800875 |
j-invariant |
L |
3.1349458201092 |
L(r)(E,1)/r! |
Ω |
0.33425294130194 |
Real period |
R |
0.39079010642608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400cq2 10575f2 705c2 |
Quadratic twists by: -4 -3 5 |