Atkin-Lehner |
3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515a |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29939866619203125 = -1 · 34 · 56 · 138 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25353,8458182] |
[a1,a2,a3,a4,a6] |
Generators |
[1566:25803:8] |
Generators of the group modulo torsion |
j |
-373403541601/6202828125 |
j-invariant |
L |
7.7546904241906 |
L(r)(E,1)/r! |
Ω |
0.31398537776356 |
Real period |
R |
6.1744041072103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5655c2 |
Quadratic twists by: 13 |