Atkin-Lehner |
5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65a |
Isogeny class |
Conductor |
65 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4225 = -1 · 52 · 132 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4,1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
0.50533434230686 |
L(r)(E,1)/r! |
Ω |
2.6914267352859 |
Real period |
R |
0.18775704933063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1040c2 4160g2 585h2 325c2 |
Quadratic twists by: -4 8 -3 5 |