Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475u |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-46996819552375 = -1 · 53 · 710 · 113 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2792,-323744] |
[a1,a2,a3,a4,a6] |
j |
163667323/3195731 |
j-invariant |
L |
1.8591312304761 |
L(r)(E,1)/r! |
Ω |
0.30985520507935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275fp1 13475r1 1925i1 |
Quadratic twists by: -3 5 -7 |