Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398s |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-34458476976 = -1 · 24 · 39 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95,8930] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:52:1] |
Generators of the group modulo torsion |
j |
-93391282153/34458476976 |
j-invariant |
L |
3.6441037820053 |
L(r)(E,1)/r! |
Ω |
0.94427598756371 |
Real period |
R |
0.64319186163065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107184bo1 40194cc1 93786h1 |
Quadratic twists by: -4 -3 -7 |