Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13455g |
Isogeny class |
Conductor |
13455 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
129360 |
Modular degree for the optimal curve |
Δ |
805353954785859375 = 36 · 57 · 133 · 235 |
Discriminant |
Eigenvalues |
1 3- 5- 1 -2 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247074,19303505] |
[a1,a2,a3,a4,a6] |
Generators |
[56:2347:1] |
Generators of the group modulo torsion |
j |
2288117440553811489/1104737935234375 |
j-invariant |
L |
6.054663214297 |
L(r)(E,1)/r! |
Ω |
0.25164138683542 |
Real period |
R |
3.4372401878488 |
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 |
1495b1 67275r1 |
Quadratic twists by: -3 5 |