Atkin-Lehner |
2+ 3+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566c |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
158206692 = 22 · 3 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-310,1888] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
3311280267625/158206692 |
j-invariant |
L |
2.5591772083231 |
L(r)(E,1)/r! |
Ω |
1.7995099826468 |
Real period |
R |
0.71107613544854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528bo1 40698bf1 94962m1 |
Quadratic twists by: -4 -3 -7 |