Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475s |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-388403467375 = -1 · 53 · 710 · 11 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3946,99663] |
[a1,a2,a3,a4,a6] |
j |
-461889917/26411 |
j-invariant |
L |
1.8748665218079 |
L(r)(E,1)/r! |
Ω |
0.93743326090394 |
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 |
121275fy1 13475v1 1925h1 |
Quadratic twists by: -3 5 -7 |