Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475l |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-4394130125 = -1 · 53 · 74 · 114 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 11- 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,220,3025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:55:1] |
Generators of the group modulo torsion |
j |
3895843/14641 |
j-invariant |
L |
4.2558630677825 |
L(r)(E,1)/r! |
Ω |
0.98198866223562 |
Real period |
R |
0.54174035193205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ez1 13475m1 13475q1 |
Quadratic twists by: -3 5 -7 |