Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
13420a |
Isogeny class |
Conductor |
13420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-998716400 = -1 · 24 · 52 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54,-1495] |
[a1,a2,a3,a4,a6] |
Generators |
[264:215:27] |
Generators of the group modulo torsion |
j |
1068359936/62419775 |
j-invariant |
L |
5.7709917127137 |
L(r)(E,1)/r! |
Ω |
0.74611018476664 |
Real period |
R |
3.8673856962016 |
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 |
53680y1 120780be1 67100d1 |
Quadratic twists by: -4 -3 5 |