Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475h |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.896501305542E+19 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-853442,-219310659] |
[a1,a2,a3,a4,a6] |
Generators |
[-7152444:-54588003:24389] |
Generators of the group modulo torsion |
j |
37397086385121/10316796875 |
j-invariant |
L |
5.065712876796 |
L(r)(E,1)/r! |
Ω |
0.16033854653215 |
Real period |
R |
7.8984638852583 |
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 |
121275dj3 2695c4 1925e3 |
Quadratic twists by: -3 5 -7 |