Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13260a |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
21986903250000 = 24 · 34 · 56 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66841,-6625334] |
[a1,a2,a3,a4,a6] |
j |
2064139491706322944/1374181453125 |
j-invariant |
L |
1.7815863799473 |
L(r)(E,1)/r! |
Ω |
0.29693106332455 |
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 |
53040cf1 39780w1 66300bf1 |
Quadratic twists by: -4 -3 5 |