Atkin-Lehner |
2+ 7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58072a |
Isogeny class |
Conductor |
58072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13489428736 = 28 · 72 · 172 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1399,-19350] |
[a1,a2,a3,a4,a6] |
j |
1182869653968/52693081 |
j-invariant |
L |
0.7827806914411 |
L(r)(E,1)/r! |
Ω |
0.78278069342047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116144a2 |
Quadratic twists by: -4 |