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 |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-4709958227734375 = -1 · 58 · 77 · 114 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44942,-4923409] |
[a1,a2,a3,a4,a6] |
Generators |
[16138:2041803:1] |
Generators of the group modulo torsion |
j |
-5461074081/2562175 |
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 |
121275dj1 2695c1 1925e1 |
Quadratic twists by: -3 5 -7 |